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[Axiom-developer] 20080408.01.tpd.patch (mapleok cleanup)
|
From: |
daly |
|
Subject: |
[Axiom-developer] 20080408.01.tpd.patch (mapleok cleanup) |
|
Date: |
Wed, 9 Apr 2008 02:27:31 -0500 |
In response to observations by Waldek and Martin various cleanups
were made to mapleok.input.pamphlet
========================================================================
diff --git a/changelog b/changelog
index 509310d..a244a50 100644
--- a/changelog
+++ b/changelog
@@ -1,3 +1,4 @@
+20080408 tpd src/input/mapleok.input fix I->%i, reorganize
20080406 tpd src/input/Makefile add integration regression testing
20080406 tpd src/input/schaum19.input integrals of sin(ax) and cos(ax)
20080404 tpd faq FAQ 46: Axiom Trademark information
diff --git a/src/input/mapleok.input.pamphlet b/src/input/mapleok.input.pamphlet
index 1fb777d..a470496 100644
--- a/src/input/mapleok.input.pamphlet
+++ b/src/input/mapleok.input.pamphlet
@@ -19,7 +19,7 @@
)set message auto off
)clear all
)set break resume
---S 1 of 267
+--S 1 of 224
in1012a:=integrate(log(abs(z^3-1))/(1+z)^2, z= 0..%plusInfinity,"noPole")
--R
--R
@@ -30,43 +30,27 @@ in1012a:=integrate(log(abs(z^3-1))/(1+z)^2, z=
0..%plusInfinity,"noPole")
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
--E 1
---S 2 of 267
-in101a:=integrate((sqrt(z)^I)^I, z= 0..1,"noPole")
+--S 2 of 224
+in101a:=integrate((sqrt(z)^%i)^%i, z= 0..1,"noPole")
--R
--R
---R 2
---R (2) ------
---R 2
---R I + 2
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
+--R (2) 2
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
--E 2
---S 3 of 267
-in106a:=integrate(((I+z)^I)^I, z= 0..1,"noPole")
---R
---R
---R 2 2
---R I log(I + 1) I log(I)
---R (I + 1)%e - I %e
---R (3) ------------------------------------
---R 2
---R I + 1
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 3
-
---S 4 of 267
+--S 3 of 224
in108a:=integrate(sqrt((1 + cos(z))*(1 + sin(z))),z=0..%plusInfinity,"noPole")
--R
--R
---R (4) + infinity
+--R (3) + infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 4
+--E 3
---S 5 of 267
+--S 4 of 224
in119a:=integrate(log(1/z+sqrt(1+1/z)), z=0..1,"noPole")
--R
--R
---R (5)
+--R (4)
--R +-+ +-+ +-+
--R 3log(2\|2 + 3) + 2log(\|2 + 1) - 3log(- 2\|2 + 3)
--R +
@@ -78,129 +62,67 @@ in119a:=integrate(log(1/z+sqrt(1+1/z)), z=0..1,"noPole")
--R /
--R 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 5
+--E 4
---S 6 of 267
+--S 5 of 224
in120a:=integrate(1/(1+1/z^6), z=0..%plusInfinity)
--R
--R
---R (6) + infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 6
-
---S 7 of 267
-in1029a:=integrate((I*z/(I*z+1))^(1/2), z= 0..%plusInfinity,"noPole")
---R
---R
---R (7) + infinity
+--R (5) + infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 7
+--E 5
---S 8 of 267
-in1030a:=integrate(I*z/(I*z+1), z= 0..%plusInfinity,"noPole")
+--S 6 of 224
+in1030a:=integrate(%i*z/(%i*z+1), z= 0..%plusInfinity,"noPole")
--R
--R
---R (8) + infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 8
+--R (6) + infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 6
---S 9 of 267
+--S 7 of 224
in1066a:=integrate(acoth(z)*real(z), z= 0..1,"noPole")
--R
--R
--R 1
---R (9) -
+--R (7) -
--R 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 9
+--E 7
---S 10 of 267
+--S 8 of 224
in1067a:=integrate(acoth(z)*z^(1/2), z= 0..1,"noPole")
--R
--R
---R - 2log(2) - %pi + 8
---R (10) -------------------
---R 6
+--R - 2log(2) - %pi + 8
+--R (8) -------------------
+--R 6
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 10
+--E 8
---S 11 of 267
+--S 9 of 224
in1076a:=integrate(sin(z)*(1-cos(z)/(1-sin(z)^2)^(1/2))^2, z= 0..1,"noPole")
--R
--R
---R (11) - 4cos(1) + 4
+--R (9) - 4cos(1) + 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 11
+--E 9
---S 12 of 267
+--S 10 of 224
in1084a:=integrate(atan(sin(z))+atan(1/sin(z)), z= 0..1,"noPole")
--R
--R
--R %pi
---R (12) - ---
+--R (10) - ---
--R 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 12
-
---S 13 of 267
-in1107a:=integrate(-log(z)/(-1+z^(1/2))^3, z= 0..1/2*I,"noPole")
---R
---R
---R (13)
---R +-+
---R +-+ +-+ \|I
---R ((2I + 12)\|I + (- 6I - 4)\|2 )log(----)
---R +-+
---R \|2
---R +
---R +-+ +-+
---R +-+ +-+ - 4\|I + (I + 2)\|2
---R ((- I - 6)\|I + (3I + 2)\|2 )log(---------------------)
---R +-+
---R 2\|2
---R +
---R 2 2
---R I +-+ +-+ I +-+
---R (- 3log(--) + 2I + 4)\|I + (I + 1)\|2 log(--) - 4I\|2
---R 4 4
---R /
---R +-+ +-+
---R (I + 6)\|I + (- 3I - 2)\|2
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 13
-
---S 14 of 267
-in1108a:=integrate(log(z)/(-1+z^(1/2))^3, z= 0..1/2*I,"noPole")
---R
---R
---R (14)
---R +-+
---R +-+ +-+ \|I
---R ((- 2I - 12)\|I + (6I + 4)\|2 )log(----)
---R +-+
---R \|2
---R +
---R +-+ +-+
---R +-+ +-+ - 4\|I + (I + 2)\|2
---R ((I + 6)\|I + (- 3I - 2)\|2 )log(---------------------)
---R +-+
---R 2\|2
---R +
---R 2 2
---R I +-+ +-+ I +-+
---R (3log(--) - 2I - 4)\|I + (- I - 1)\|2 log(--) + 4I\|2
---R 4 4
---R /
---R +-+ +-+
---R (I + 6)\|I + (- 3I - 2)\|2
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 14
+--E 10
---S 15 of 267
+--S 11 of 224
in1112a:=integrate((1-1/z)^(1/2), z= %pi..2*%pi,"noPole")
--R
--R
---R (15)
+--R (11)
--R +--------+ +-------+
--R |2%pi - 1 |%pi - 1
--R - 2log( |-------- + 1) + 2log( |------- + 1)
@@ -220,198 +142,130 @@ in1112a:=integrate((1-1/z)^(1/2), z=
%pi..2*%pi,"noPole")
--R /
--R 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 15
+--E 11
---S 16 of 267
-in1114a:=integrate(-z-(1/2*2^(1/2)+1/2*I*2^(1/2))*z^(1/2), z=
1..%plusInfinity,"noPole")
+--S 12 of 224
+in1114a:=integrate(-z-(1/2*2^(1/2)+1/2*%i*2^(1/2))*z^(1/2), z=
1..%plusInfinity,"noPole")
--R
--R
---R (16) - infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 16
+--R (12) - infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex Fraction
Integer,...)
+--E 12
---S 17 of 267
-in1118:=integrate(acot(z), z= 0..1/2*I)
+--S 13 of 224
+in1118:=integrate(acot(z), z= 0..1/2*%i)
--R
--R
---R 2
---R I + 4 4I
---R 2log(------) + I atan(------)
---R 4 2
---R I - 4
---R (17) -----------------------------
---R 4
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 17
+--R 1 3 1 1
+--R (13) - log(-) - - log(-)
+--R 2 4 8 9
+--R Type: Union(f1: OrderedCompletion Expression Complex Fraction
Integer,...)
+--E 13
---S 18 of 267
+--S 14 of 224
in1120a:=integrate((z^2)^(1/2), z= 1..2,"noPole")
--R
--R
--R 3
---R (18) -
+--R (14) -
--R 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 18
-
---S 19 of 267
-in1130a:=integrate(3^log(z), z= -I..I,"noPole")
---R
---R
---R log(3)log(I) log(3)log(- I)
---R I %e + I %e
---R (19) -------------------------------------
---R log(3) + 1
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 19
+--E 14
---S 20 of 267
-in1149:=integrate(imag(z)*z^(1/6), z= -I..I)
+--S 15 of 224
+in1130a:=integrate(3^log(z), z= -%i..%i,"noPole")
--R
--R
---R (20) 0
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 20
+--R log(%i)log(3) log(- %i)log(3)
+--R %i %e + %i %e
+--R (15) -----------------------------------------
+--R log(3) + 1
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 15
---S 21 of 267
+--S 16 of 224
in1149:=integrate(imag(z)*z^(1/6), z= -%i..%i)
--R
--R
---R (21) 0
+--R (16) 0
--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
---E 21
-
---S 22 of 267
-in1150a:=integrate(1/z^(1/2), z= -I..I,"noPole")
---R
---R
---R +-+ +---+
---R (22) 2\|I - 2\|- I
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 22
+--E 16
---S 23 of 267
-in1150c:=integrate(1/z^(1/2), z= -%i..%i,"noPole")
+--S 17 of 224
+in1150a:=integrate(1/z^(1/2), z= -%i..%i,"noPole")
--R
--R
--R +--+ +----+
---R (23) 2\|%i - 2\|- %i
+--R (17) 2\|%i - 2\|- %i
--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
---E 23
-
---S 24 of 267
-in1161:=integrate(hermiteH(1, z), z= -I..I)
---R
---R
---R (24) 0
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 24
+--E 17
---S 25 of 267
+--S 18 of 224
in1161a:=integrate(hermiteH(1, z), z= -%i..%i)
--R
--R
---R (25) 0
+--R (18) 0
--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
---E 25
-
---S 26 of 267 used to work
-in1160:=integrate(HermiteH(2, z), z= -%i..%i)
---R
---R There are no library operations named HermiteH
---R Use HyperDoc Browse or issue
---R )what op HermiteH
---R to learn if there is any operation containing " HermiteH " in its
---R name.
---R
---RDaly Bug
---R Cannot find a definition or applicable library operation named
---R HermiteH with argument type(s)
---R PositiveInteger
---R Variable z
---R
---R Perhaps you should use "@" to indicate the required return type,
---R or "$" to specify which version of the function you need.
---E 26
---
--- 20%i
--- - ----
--- 3
--- Type: Union(f1: OrderedCompletion Expression Complex Integer,...)
+--E 18
---S 27 of 267
-in1162:=integrate(laguerreL(1, z), z= -I..I)
+--S 19 of 224
+in1160:=integrate(hermiteH(2, z), z= -%i..%i)
--R
--R
---R (26) 2I
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 27
+--R 20%i
+--R (19) - ----
+--R 3
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 19
---S 28 of 267
+--S 20 of 224
in1162:=integrate(laguerreL(1, z), z= -%i..%i)
--R
--R
---R (27) 2%i
+--R (20) 2%i
--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
---E 28
-
---S 29 of 267
-in1163:=integrate(legendreP(3, z), z= -I..I)
---R
---R
---R (28) 0
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 29
+--E 20
---S 30 of 267
+--S 21 of 224
in1163:=integrate(legendreP(3, z), z= -%i..%i)
--R
--R
---R (29) 0
+--R (21) 0
--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
---E 30
-
---S 31 of 267
-in1164:=integrate(legendreP(2, z), z= -I..I)
---R
---R
---R 3
---R (30) I - I
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 31
+--E 21
---S 32 of 267
+--S 22 of 224
in1164:=integrate(legendreP(2, z), z= -%i..%i)
--R
--R
---R (31) - 2%i
+--R (22) - 2%i
--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
---E 32
+--E 22
---S 33 of 267
+--S 23 of 224
in1167a:=integrate((z^2)^(1/6), z= -3..-1,"noPole")
--R
--R
--R 3+---+ 3+---+
--R - 3\|- 1 + 9\|- 3
---R (32) -------------------
+--R (23) -------------------
--R 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 33
+--E 23
---S 34 of 267
+--S 24 of 224
in1180:=integrate(z^(1/3)/(z^2+1), z=
0..10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000!
000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)
--R
--R
---R (33) potentialPole
+--R (24) potentialPole
--R Type: Union(pole:
potentialPole,...)
---E 34
+--E 24
---S 35 of 267
+--S 25 of 224
in1180:=integrate(z^(1/3)/(z^2+1), z=
0..10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000!
000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000,"noPole")
--R
--R
---R (34)
+--R (25)
--R 3
--R *
--R log
@@ -637,75 +491,75 @@ in1180:=integrate(z^(1/3)/(z^2+1), z=
0..100000000000000000000000000000000000000
--R /
--R 24
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 35
+--E 25
---S 36 of 267
-in1183a:=integrate(csc(z), z= 1-I..1+I,"noPole")
+--S 26 of 224
+in1183a:=integrate(csc(z), z= 1-%i..1+%i,"noPole")
--R
--R
---R (35)
---R 2 2
---R sin(I + 1) sin(I - 1)
---R log(-----------------------------) - log(-----------------------------)
---R 2 2
---R cos(I + 1) + 2cos(I + 1) + 1 cos(I - 1) + 2cos(I - 1) + 1
---R -----------------------------------------------------------------------
---R 2
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 36
+--R (26)
+--R 2 2
+--R sin(1 + %i) sin(1 - %i)
+--R log(-------------------------------) -
log(-------------------------------)
+--R 2 2
+--R cos(1 + %i) + 2cos(1 + %i) + 1 cos(1 - %i) + 2cos(1 - %i) +
1
+--R
---------------------------------------------------------------------------
+--R 2
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 26
---S 37 of 267
+--S 27 of 224
in1185a:=integrate((z+1)^(1/2)/(1+z^4), z= 0..1,"noPole")
--R
--R
---R (36)
+--R (27)
--R ROOT
--R +-----------------------------------------+
--R | 2 2 +-+
---I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1 - 4\|2 %%BC1
+--I \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1 - 4\|2 %%BQ1
--R +
--R +-+
---I - 4\|2 %%BC0
+--I - 4\|2 %%BQ0
--R /
--R +-+
--R 2\|2
--R *
--R log
--R +-+ +-+ +-+
+-+
---I ((24576\|2 %%BC0 - 768\|2 )%%BC1 - 768\|2 %%BC0 -
48\|2 )
+--I ((24576\|2 %%BQ0 - 768\|2 )%%BQ1 - 768\|2 %%BQ0 -
48\|2 )
--R *
--R +-----------------------------------------+
--R | 2 2
---I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1
--R +
--R 2 2
---I (196608%%BC0 - 6144)%%BC1 + (196608%%BC0 + 384)%%BC1
+--I (196608%%BQ0 - 6144)%%BQ1 + (196608%%BQ0 + 384)%%BQ1
--R +
--R 2
---I - 6144%%BC0 + 384%%BC0 + 48
+--I - 6144%%BQ0 + 384%%BQ0 + 48
--R *
--R ROOT
--R +-----------------------------------------+
--R | 2 2
---I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1
--R +
--R +-+ +-+
---I - 4\|2 %%BC1 - 4\|2 %%BC0
+--I - 4\|2 %%BQ1 - 4\|2 %%BQ0
--R /
--R +-+
--R 2\|2
--R +
---I ((- 3072%%BC0 + 384)%%BC1 + 384%%BC0 - 12)
+--I ((- 3072%%BQ0 + 384)%%BQ1 + 384%%BQ0 - 12)
--R *
--R +-----------------------------------------+
--R | 2 2
---I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1
--R +
--R +-+ +-+ 2
---I (- 12288\|2 %%BC0 + 1536\|2 )%%BC1
+--I (- 12288\|2 %%BQ0 + 1536\|2 )%%BQ1
--R +
--R +-+ 2 +-+ +-+ 2 +-+
---I (- 12288\|2 %%BC0 + 48\|2 )%%BC1 + 1536\|2 %%BC0 + 48\|2
%%BC0
+--I (- 12288\|2 %%BQ0 + 48\|2 )%%BQ1 + 1536\|2 %%BQ0 + 48\|2
%%BQ0
--R +
--R +-+
--R 60\|2
@@ -717,55 +571,55 @@ in1185a:=integrate((z+1)^(1/2)/(1+z^4), z= 0..1,"noPole")
--R ROOT
--R +-----------------------------------------+
--R | 2 2 +-+
---I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1 - 4\|2 %%BC1
+--I \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1 - 4\|2 %%BQ1
--R +
--R +-+
---I - 4\|2 %%BC0
+--I - 4\|2 %%BQ0
--R /
--R +-+
--R 2\|2
--R *
--R log
---I ((24576%%BC0 - 768)%%BC1 - 768%%BC0 - 48)
+--I ((24576%%BQ0 - 768)%%BQ1 - 768%%BQ0 - 48)
--R *
--R +-----------------------------------------+
--R | 2 2
---I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1
--R +
--R +-+ +-+ 2
---I (98304\|2 %%BC0 - 3072\|2 )%%BC1
+--I (98304\|2 %%BQ0 - 3072\|2 )%%BQ1
--R +
--R +-+ 2 +-+ +-+ 2
---I (98304\|2 %%BC0 + 192\|2 )%%BC1 - 3072\|2 %%BC0
+--I (98304\|2 %%BQ0 + 192\|2 )%%BQ1 - 3072\|2 %%BQ0
--R +
--R +-+ +-+
---I 192\|2 %%BC0 + 24\|2
+--I 192\|2 %%BQ0 + 24\|2
--R *
--R ROOT
--R +-----------------------------------------+
--R | 2 2
---I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1
--R +
--R +-+ +-+
---I - 4\|2 %%BC1 - 4\|2 %%BC0
+--I - 4\|2 %%BQ1 - 4\|2 %%BQ0
--R /
--R +-+
--R 2\|2
--R +
---I ((- 3072%%BC0 + 384)%%BC1 + 384%%BC0 - 12)
+--I ((- 3072%%BQ0 + 384)%%BQ1 + 384%%BQ0 - 12)
--R *
--R +-----------------------------------------+
--R | 2 2
---I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1
--R +
--R +-+ +-+ 2
---I (- 12288\|2 %%BC0 + 1536\|2 )%%BC1
+--I (- 12288\|2 %%BQ0 + 1536\|2 )%%BQ1
--R +
--R +-+ 2 +-+ +-+ 2
---I (- 12288\|2 %%BC0 + 48\|2 )%%BC1 + 1536\|2 %%BC0
+--I (- 12288\|2 %%BQ0 + 48\|2 )%%BQ1 + 1536\|2 %%BQ0
--R +
--R +-+ +-+
---I 48\|2 %%BC0 + 42\|2
+--I 48\|2 %%BQ0 + 42\|2
--R /
--R +-+
--R \|2
@@ -774,56 +628,56 @@ in1185a:=integrate((z+1)^(1/2)/(1+z^4), z= 0..1,"noPole")
--R ROOT
--R +-----------------------------------------+
--R | 2 2 +-+
---I - \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1 - 4\|2
%%BC1
+--I - \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1 - 4\|2
%%BQ1
--R +
--R +-+
---I - 4\|2 %%BC0
+--I - 4\|2 %%BQ0
--R /
--R +-+
--R 2\|2
--R *
--R log
--R +-+ +-+ +-+
---I (24576\|2 %%BC0 - 768\|2 )%%BC1 - 768\|2 %%BC0
+--I (24576\|2 %%BQ0 - 768\|2 )%%BQ1 - 768\|2 %%BQ0
--R +
--R +-+
--R - 48\|2
--R *
--R +-----------------------------------------+
--R | 2 2
---I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1
--R +
--R 2
---I (- 196608%%BC0 + 6144)%%BC1
+--I (- 196608%%BQ0 + 6144)%%BQ1
--R +
--R 2 2
---I (- 196608%%BC0 - 384)%%BC1 + 6144%%BC0 - 384%%BC0
- 48
+--I (- 196608%%BQ0 - 384)%%BQ1 + 6144%%BQ0 - 384%%BQ0
- 48
--R *
--R ROOT
--R +-----------------------------------------+
--R | 2 2
---I - \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I - \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1
--R +
--R +-+ +-+
---I - 4\|2 %%BC1 - 4\|2 %%BC0
+--I - 4\|2 %%BQ1 - 4\|2 %%BQ0
--R /
--R +-+
--R 2\|2
--R +
---I ((3072%%BC0 - 384)%%BC1 - 384%%BC0 + 12)
+--I ((3072%%BQ0 - 384)%%BQ1 - 384%%BQ0 + 12)
--R *
--R +-----------------------------------------+
--R | 2 2
---I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1
--R +
--R +-+ +-+ 2
---I (- 12288\|2 %%BC0 + 1536\|2 )%%BC1
+--I (- 12288\|2 %%BQ0 + 1536\|2 )%%BQ1
--R +
--R +-+ 2 +-+ +-+ 2
---I (- 12288\|2 %%BC0 + 48\|2 )%%BC1 + 1536\|2 %%BC0
+--I (- 12288\|2 %%BQ0 + 48\|2 )%%BQ1 + 1536\|2 %%BQ0
--R +
--R +-+ +-+
---I 48\|2 %%BC0 + 60\|2
+--I 48\|2 %%BQ0 + 60\|2
--R /
--R +-+
--R \|2
@@ -831,52 +685,52 @@ in1185a:=integrate((z+1)^(1/2)/(1+z^4), z= 0..1,"noPole")
--R ROOT
--R +-----------------------------------------+
--R | 2 2 +-+
---I - \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1 - 4\|2 %%BC1
+--I - \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1 - 4\|2 %%BQ1
--R +
--R +-+
---I - 4\|2 %%BC0
+--I - 4\|2 %%BQ0
--R /
--R +-+
--R 2\|2
--R *
--R log
---I ((24576%%BC0 - 768)%%BC1 - 768%%BC0 - 48)
+--I ((24576%%BQ0 - 768)%%BQ1 - 768%%BQ0 - 48)
--R *
--R +-----------------------------------------+
--R | 2 2
---I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1
--R +
--R +-+ +-+ 2
---I (- 98304\|2 %%BC0 + 3072\|2 )%%BC1
+--I (- 98304\|2 %%BQ0 + 3072\|2 )%%BQ1
--R +
--R +-+ 2 +-+ +-+ 2
---I (- 98304\|2 %%BC0 - 192\|2 )%%BC1 + 3072\|2 %%BC0
+--I (- 98304\|2 %%BQ0 - 192\|2 )%%BQ1 + 3072\|2 %%BQ0
--R +
--R +-+ +-+
---I - 192\|2 %%BC0 - 24\|2
+--I - 192\|2 %%BQ0 - 24\|2
--R *
--R ROOT
--R +-----------------------------------------+
--R | 2 2
---I - \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I - \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1
--R +
--R +-+ +-+
---I - 4\|2 %%BC1 - 4\|2 %%BC0
+--I - 4\|2 %%BQ1 - 4\|2 %%BQ0
--R /
--R +-+
--R 2\|2
--R +
---I ((3072%%BC0 - 384)%%BC1 - 384%%BC0 + 12)
+--I ((3072%%BQ0 - 384)%%BQ1 - 384%%BQ0 + 12)
--R *
--R +-----------------------------------------+
--R | 2 2
---I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1
--R +
--R +-+ +-+ 2
---I (- 12288\|2 %%BC0 + 1536\|2 )%%BC1
+--I (- 12288\|2 %%BQ0 + 1536\|2 )%%BQ1
--R +
--R +-+ 2 +-+ +-+ 2 +-+
---I (- 12288\|2 %%BC0 + 48\|2 )%%BC1 + 1536\|2 %%BC0 + 48\|2
%%BC0
+--I (- 12288\|2 %%BQ0 + 48\|2 )%%BQ1 + 1536\|2 %%BQ0 + 48\|2
%%BQ0
--R +
--R +-+
--R 42\|2
@@ -888,55 +742,55 @@ in1185a:=integrate((z+1)^(1/2)/(1+z^4), z= 0..1,"noPole")
--R ROOT
--R +-----------------------------------------+
--R | 2 2 +-+
---I - \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1 - 4\|2
%%BC1
+--I - \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1 - 4\|2
%%BQ1
--R +
--R +-+
---I - 4\|2 %%BC0
+--I - 4\|2 %%BQ0
--R /
--R +-+
--R 2\|2
--R *
--R log
---I ((- 24576%%BC0 + 768)%%BC1 + 768%%BC0 + 48)
+--I ((- 24576%%BQ0 + 768)%%BQ1 + 768%%BQ0 + 48)
--R *
--R +-----------------------------------------+
--R | 2 2
---I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1
--R +
--R +-+ +-+ 2
---I (98304\|2 %%BC0 - 3072\|2 )%%BC1
+--I (98304\|2 %%BQ0 - 3072\|2 )%%BQ1
--R +
--R +-+ 2 +-+ +-+ 2
---I (98304\|2 %%BC0 + 192\|2 )%%BC1 - 3072\|2 %%BC0
+--I (98304\|2 %%BQ0 + 192\|2 )%%BQ1 - 3072\|2 %%BQ0
--R +
--R +-+ +-+
---I 192\|2 %%BC0 + 24\|2
+--I 192\|2 %%BQ0 + 24\|2
--R *
--R ROOT
--R +-----------------------------------------+
--R | 2 2
---I - \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I - \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1
--R +
--R +-+ +-+
---I - 4\|2 %%BC1 - 4\|2 %%BC0
+--I - 4\|2 %%BQ1 - 4\|2 %%BQ0
--R /
--R +-+
--R 2\|2
--R +
---I ((3072%%BC0 - 384)%%BC1 - 384%%BC0 + 12)
+--I ((3072%%BQ0 - 384)%%BQ1 - 384%%BQ0 + 12)
--R *
--R +-----------------------------------------+
--R | 2 2
---I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1
--R +
--R +-+ +-+ 2
---I (- 12288\|2 %%BC0 + 1536\|2 )%%BC1
+--I (- 12288\|2 %%BQ0 + 1536\|2 )%%BQ1
--R +
--R +-+ 2 +-+ +-+ 2
---I (- 12288\|2 %%BC0 + 48\|2 )%%BC1 + 1536\|2 %%BC0
+--I (- 12288\|2 %%BQ0 + 48\|2 )%%BQ1 + 1536\|2 %%BQ0
--R +
--R +-+ +-+
---I 48\|2 %%BC0 + 42\|2
+--I 48\|2 %%BQ0 + 42\|2
--R /
--R +-+
--R \|2
@@ -944,53 +798,53 @@ in1185a:=integrate((z+1)^(1/2)/(1+z^4), z= 0..1,"noPole")
--R ROOT
--R +-----------------------------------------+
--R | 2 2 +-+
---I - \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1 - 4\|2 %%BC1
+--I - \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1 - 4\|2 %%BQ1
--R +
--R +-+
---I - 4\|2 %%BC0
+--I - 4\|2 %%BQ0
--R /
--R +-+
--R 2\|2
--R *
--R log
--R +-+ +-+ +-+
---I (- 24576\|2 %%BC0 + 768\|2 )%%BC1 + 768\|2 %%BC0
+--I (- 24576\|2 %%BQ0 + 768\|2 )%%BQ1 + 768\|2 %%BQ0
--R +
--R +-+
--R 48\|2
--R *
--R +-----------------------------------------+
--R | 2 2
---I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1
--R +
--R 2 2
---I (196608%%BC0 - 6144)%%BC1 + (196608%%BC0 + 384)%%BC1
+--I (196608%%BQ0 - 6144)%%BQ1 + (196608%%BQ0 + 384)%%BQ1
--R +
--R 2
---I - 6144%%BC0 + 384%%BC0 + 48
+--I - 6144%%BQ0 + 384%%BQ0 + 48
--R *
--R ROOT
--R +-----------------------------------------+
--R | 2 2
---I - \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I - \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1
--R +
--R +-+ +-+
---I - 4\|2 %%BC1 - 4\|2 %%BC0
+--I - 4\|2 %%BQ1 - 4\|2 %%BQ0
--R /
--R +-+
--R 2\|2
--R +
---I ((3072%%BC0 - 384)%%BC1 - 384%%BC0 + 12)
+--I ((3072%%BQ0 - 384)%%BQ1 - 384%%BQ0 + 12)
--R *
--R +-----------------------------------------+
--R | 2 2
---I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1
--R +
--R +-+ +-+ 2
---I (- 12288\|2 %%BC0 + 1536\|2 )%%BC1
+--I (- 12288\|2 %%BQ0 + 1536\|2 )%%BQ1
--R +
--R +-+ 2 +-+ +-+ 2 +-+
---I (- 12288\|2 %%BC0 + 48\|2 )%%BC1 + 1536\|2 %%BC0 + 48\|2
%%BC0
+--I (- 12288\|2 %%BQ0 + 48\|2 )%%BQ1 + 1536\|2 %%BQ0 + 48\|2
%%BQ0
--R +
--R +-+
--R 60\|2
@@ -1001,52 +855,52 @@ in1185a:=integrate((z+1)^(1/2)/(1+z^4), z= 0..1,"noPole")
--R ROOT
--R +-----------------------------------------+
--R | 2 2 +-+
---I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1 - 4\|2 %%BC1
+--I \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1 - 4\|2 %%BQ1
--R +
--R +-+
---I - 4\|2 %%BC0
+--I - 4\|2 %%BQ0
--R /
--R +-+
--R 2\|2
--R *
--R log
---I ((- 24576%%BC0 + 768)%%BC1 + 768%%BC0 + 48)
+--I ((- 24576%%BQ0 + 768)%%BQ1 + 768%%BQ0 + 48)
--R *
--R +-----------------------------------------+
--R | 2 2
---I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1
--R +
--R +-+ +-+ 2
---I (- 98304\|2 %%BC0 + 3072\|2 )%%BC1
+--I (- 98304\|2 %%BQ0 + 3072\|2 )%%BQ1
--R +
--R +-+ 2 +-+ +-+ 2
---I (- 98304\|2 %%BC0 - 192\|2 )%%BC1 + 3072\|2 %%BC0
+--I (- 98304\|2 %%BQ0 - 192\|2 )%%BQ1 + 3072\|2 %%BQ0
--R +
--R +-+ +-+
---I - 192\|2 %%BC0 - 24\|2
+--I - 192\|2 %%BQ0 - 24\|2
--R *
--R ROOT
--R +-----------------------------------------+
--R | 2 2
---I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1
--R +
--R +-+ +-+
---I - 4\|2 %%BC1 - 4\|2 %%BC0
+--I - 4\|2 %%BQ1 - 4\|2 %%BQ0
--R /
--R +-+
--R 2\|2
--R +
---I ((- 3072%%BC0 + 384)%%BC1 + 384%%BC0 - 12)
+--I ((- 3072%%BQ0 + 384)%%BQ1 + 384%%BQ0 - 12)
--R *
--R +-----------------------------------------+
--R | 2 2
---I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1
--R +
--R +-+ +-+ 2
---I (- 12288\|2 %%BC0 + 1536\|2 )%%BC1
+--I (- 12288\|2 %%BQ0 + 1536\|2 )%%BQ1
--R +
--R +-+ 2 +-+ +-+ 2 +-+
---I (- 12288\|2 %%BC0 + 48\|2 )%%BC1 + 1536\|2 %%BC0 + 48\|2
%%BC0
+--I (- 12288\|2 %%BQ0 + 48\|2 )%%BQ1 + 1536\|2 %%BQ0 + 48\|2
%%BQ0
--R +
--R +-+
--R 42\|2
@@ -1058,199 +912,199 @@ in1185a:=integrate((z+1)^(1/2)/(1+z^4), z=
0..1,"noPole")
--R ROOT
--R +-----------------------------------------+
--R | 2 2 +-+
---I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1 - 4\|2 %%BC1
+--I \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1 - 4\|2 %%BQ1
--R +
--R +-+
---I - 4\|2 %%BC0
+--I - 4\|2 %%BQ0
--R /
--R +-+
--R 2\|2
--R *
--R log
--R +-+ +-+ +-+
---I (- 24576\|2 %%BC0 + 768\|2 )%%BC1 + 768\|2 %%BC0
+--I (- 24576\|2 %%BQ0 + 768\|2 )%%BQ1 + 768\|2 %%BQ0
--R +
--R +-+
--R 48\|2
--R *
--R +-----------------------------------------+
--R | 2 2
---I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1
--R +
--R 2
---I (- 196608%%BC0 + 6144)%%BC1
+--I (- 196608%%BQ0 + 6144)%%BQ1
--R +
--R 2 2
---I (- 196608%%BC0 - 384)%%BC1 + 6144%%BC0 - 384%%BC0
- 48
+--I (- 196608%%BQ0 - 384)%%BQ1 + 6144%%BQ0 - 384%%BQ0
- 48
--R *
--R ROOT
--R +-----------------------------------------+
--R | 2 2
---I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1
--R +
--R +-+ +-+
---I - 4\|2 %%BC1 - 4\|2 %%BC0
+--I - 4\|2 %%BQ1 - 4\|2 %%BQ0
--R /
--R +-+
--R 2\|2
--R +
---I ((- 3072%%BC0 + 384)%%BC1 + 384%%BC0 - 12)
+--I ((- 3072%%BQ0 + 384)%%BQ1 + 384%%BQ0 - 12)
--R *
--R +-----------------------------------------+
--R | 2 2
---I \|- 96%%BC1 - 64%%BC0 %%BC1 - 96%%BC0 - 1
+--I \|- 96%%BQ1 - 64%%BQ0 %%BQ1 - 96%%BQ0 - 1
--R +
--R +-+ +-+ 2
---I (- 12288\|2 %%BC0 + 1536\|2 )%%BC1
+--I (- 12288\|2 %%BQ0 + 1536\|2 )%%BQ1
--R +
--R +-+ 2 +-+ +-+ 2
---I (- 12288\|2 %%BC0 + 48\|2 )%%BC1 + 1536\|2 %%BC0
+--I (- 12288\|2 %%BQ0 + 48\|2 )%%BQ1 + 1536\|2 %%BQ0
--R +
--R +-+ +-+
---I 48\|2 %%BC0 + 60\|2
+--I 48\|2 %%BQ0 + 60\|2
--R /
--R +-+
--R \|2
--R +
--R -
--R +------+
---I \|4%%BC1
+--I \|4%%BQ1
--R *
--R log
--R +-+ +-+ 2
---I (98304\|2 %%BC0 - 3072\|2 )%%BC1
+--I (98304\|2 %%BQ0 - 3072\|2 )%%BQ1
--R +
--R +-+ 2 +-+ +-+ 3
---I (98304\|2 %%BC0 + 192\|2 )%%BC1 + 98304\|2 %%BC0
+--I (98304\|2 %%BQ0 + 192\|2 )%%BQ1 + 98304\|2 %%BQ0
--R +
--R +-+ +-+
---I 768\|2 %%BC0 - 36\|2
+--I 768\|2 %%BQ0 - 36\|2
--R *
--R +------+
---I \|4%%BC1
+--I \|4%%BQ1
--R +
--R 2 2
---I (12288%%BC0 - 1536)%%BC1 + (12288%%BC0 - 48)%%BC1
+--I (12288%%BQ0 - 1536)%%BQ1 + (12288%%BQ0 - 48)%%BQ1
--R +
--R 3
---I 12288%%BC0 + 96%%BC0 + 18
+--I 12288%%BQ0 + 96%%BQ0 + 18
--R +
--R +------+
---I \|4%%BC1
+--I \|4%%BQ1
--R *
--R log
--R 2 2
---I (98304%%BC0 - 3072)%%BC1 + (98304%%BC0 + 192)%%BC1
+--I (98304%%BQ0 - 3072)%%BQ1 + (98304%%BQ0 + 192)%%BQ1
--R +
--R 3
---I 98304%%BC0 + 768%%BC0 - 36
+--I 98304%%BQ0 + 768%%BQ0 - 36
--R *
--R +------+
---I \|4%%BC1
+--I \|4%%BQ1
--R +
--R 2 2
3
---I (12288%%BC0 - 1536)%%BC1 + (12288%%BC0 - 48)%%BC1 +
12288%%BC0
+--I (12288%%BQ0 - 1536)%%BQ1 + (12288%%BQ0 - 48)%%BQ1 +
12288%%BQ0
--R +
---I 96%%BC0 + 9
+--I 96%%BQ0 + 9
--R +
--R -
--R +------+
---I \|4%%BC1
+--I \|4%%BQ1
--R *
--R log
--R 2 2
---I (- 98304%%BC0 + 3072)%%BC1 + (- 98304%%BC0 -
192)%%BC1
+--I (- 98304%%BQ0 + 3072)%%BQ1 + (- 98304%%BQ0 -
192)%%BQ1
--R +
--R 3
---I - 98304%%BC0 - 768%%BC0 + 36
+--I - 98304%%BQ0 - 768%%BQ0 + 36
--R *
--R +------+
---I \|4%%BC1
+--I \|4%%BQ1
--R +
--R 2 2
---I (12288%%BC0 - 1536)%%BC1 + (12288%%BC0 - 48)%%BC1
+--I (12288%%BQ0 - 1536)%%BQ1 + (12288%%BQ0 - 48)%%BQ1
--R +
--R 3
---I 12288%%BC0 + 96%%BC0 + 9
+--I 12288%%BQ0 + 96%%BQ0 + 9
--R +
--R +------+
---I \|4%%BC1
+--I \|4%%BQ1
--R *
--R log
--R +-+ +-+ 2
---I (- 98304\|2 %%BC0 + 3072\|2 )%%BC1
+--I (- 98304\|2 %%BQ0 + 3072\|2 )%%BQ1
--R +
--R +-+ 2 +-+ +-+ 3
---I (- 98304\|2 %%BC0 - 192\|2 )%%BC1 - 98304\|2 %%BC0
+--I (- 98304\|2 %%BQ0 - 192\|2 )%%BQ1 - 98304\|2 %%BQ0
--R +
--R +-+ +-+
---I - 768\|2 %%BC0 + 36\|2
+--I - 768\|2 %%BQ0 + 36\|2
--R *
--R +------+
---I \|4%%BC1
+--I \|4%%BQ1
--R +
--R 2 2
3
---I (12288%%BC0 - 1536)%%BC1 + (12288%%BC0 - 48)%%BC1 +
12288%%BC0
+--I (12288%%BQ0 - 1536)%%BQ1 + (12288%%BQ0 - 48)%%BQ1 +
12288%%BQ0
--R +
---I 96%%BC0 + 18
+--I 96%%BQ0 + 18
--R +
--R +------+
---I \|4%%BC0
+--I \|4%%BQ0
--R *
--R log
--R +-+ 3 +-+ 2 +-+ +-+
---I (98304\|2 %%BC0 + 3072\|2 %%BC0 + 576\|2 %%BC0 - 60\|2 )
+--I (98304\|2 %%BQ0 + 3072\|2 %%BQ0 + 576\|2 %%BQ0 - 60\|2 )
--R *
--R +------+
---I \|4%%BC0
+--I \|4%%BQ0
--R +
--R 3 2
---I - 12288%%BC0 - 1536%%BC0 - 144%%BC0 + 30
+--I - 12288%%BQ0 - 1536%%BQ0 - 144%%BQ0 + 30
--R +
--R -
--R +------+
---I \|4%%BC0
+--I \|4%%BQ0
--R *
--R log
--R 3 2 +------+
---I (98304%%BC0 + 3072%%BC0 + 576%%BC0 - 60)\|4%%BC0
+--I (98304%%BQ0 + 3072%%BQ0 + 576%%BQ0 - 60)\|4%%BQ0
--R +
--R 3 2
---I - 12288%%BC0 - 1536%%BC0 - 144%%BC0 + 21
+--I - 12288%%BQ0 - 1536%%BQ0 - 144%%BQ0 + 21
--R +
--R +------+
---I \|4%%BC0
+--I \|4%%BQ0
--R *
--R log
--R 3 2 +------+
---I (- 98304%%BC0 - 3072%%BC0 - 576%%BC0 + 60)\|4%%BC0
+--I (- 98304%%BQ0 - 3072%%BQ0 - 576%%BQ0 + 60)\|4%%BQ0
--R +
--R 3 2
---I - 12288%%BC0 - 1536%%BC0 - 144%%BC0 + 21
+--I - 12288%%BQ0 - 1536%%BQ0 - 144%%BQ0 + 21
--R +
--R -
--R +------+
---I \|4%%BC0
+--I \|4%%BQ0
--R *
--R log
--R +-+ 3 +-+ 2 +-+
+-+
---I (- 98304\|2 %%BC0 - 3072\|2 %%BC0 - 576\|2 %%BC0 +
60\|2 )
+--I (- 98304\|2 %%BQ0 - 3072\|2 %%BQ0 - 576\|2 %%BQ0 +
60\|2 )
--R *
--R +------+
---I \|4%%BC0
+--I \|4%%BQ0
--R +
--R 3 2
---I - 12288%%BC0 - 1536%%BC0 - 144%%BC0 + 30
+--I - 12288%%BQ0 - 1536%%BQ0 - 144%%BQ0 + 30
--R /
--R 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 37
+--E 27
---S 38 of 267
+--S 28 of 224
in1186a:=integrate((z^2+z)^(1/2)/(1+z^2)^2, z= 0..1,"noPole")
--R
--R
---R (37)
+--R (28)
--R +-+ 4+-+ %pi
--R (17\|2 - 24)\|2 cos(---)
--R 8
@@ -1416,13 +1270,13 @@ in1186a:=integrate((z^2+z)^(1/2)/(1+z^2)^2, z=
0..1,"noPole")
--R +-+
--R 384\|2 - 544
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 38
+--E 28
---S 39 of 267
+--S 29 of 224
in1190a:=integrate(sin(z)^2*tan(z)^(1/2), z= 0..1,"noPole")
--R
--R
---R (38)
+--R (29)
--R +------+
--R 3 4 2 |sin(1)
--R ((96cos(1) + 24cos(1))sin(1) - 96cos(1) + 120cos(1) ) |------
@@ -1566,13 +1420,13 @@ in1190a:=integrate(sin(z)^2*tan(z)^(1/2), z=
0..1,"noPole")
--R 4 2
--R - 1024cos(1)sin(1) + 2048cos(1) - 2048cos(1) - 64
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 39
+--E 29
---S 40 of 267
+--S 30 of 224
in1191a:=integrate(sin(z)^2/tan(z)^(1/2), z= 0..1,"noPole")
--R
--R
---R (39)
+--R (30)
--R +------+
--R 3 4 2 |sin(1)
--R ((- 32cos(1) - 8cos(1))sin(1) + 32cos(1) - 40cos(1) ) |------
@@ -1711,29 +1565,29 @@ in1191a:=integrate(sin(z)^2/tan(z)^(1/2), z=
0..1,"noPole")
--R 4 2
--R - 1024cos(1)sin(1) + 2048cos(1) - 2048cos(1) - 64
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 40
+--E 30
---S 41 of 267
+--S 31 of 224
in1193a:=integrate(-sin(z)^2*cot(z-1), z= 0..1,"noPole")
--R
--R
---R (40) + infinity
+--R (31) + infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 41
+--E 31
---S 42 of 267
+--S 32 of 224
in1207:=integrate(sin(z)*cos(z)*tan(z)^(1/2), z= 0..1)
--R
--R
---R (41) potentialPole
+--R (32) potentialPole
--R Type: Union(pole:
potentialPole,...)
---E 42
+--E 32
---S 43 of 267
+--S 33 of 224
in1207a:=integrate(sin(z)*cos(z)*tan(z)^(1/2), z= 0..1,"noPole")
--R
--R
---R (42)
+--R (33)
--R +------+
--R 3 4 2 |sin(1)
--R ((- 32cos(1) - 8cos(1))sin(1) + 32cos(1) - 40cos(1) ) |------
@@ -1872,21 +1726,21 @@ in1207a:=integrate(sin(z)*cos(z)*tan(z)^(1/2), z=
0..1,"noPole")
--R 4 2
--R - 1024cos(1)sin(1) + 2048cos(1) - 2048cos(1) - 64
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 43
+--E 33
---S 44 of 267
+--S 34 of 224
in1210a:=integrate(-sin(z)*cos(z)*cot(z-1), z= 0..1,"noPole")
--R
--R
---R (43) + infinity
+--R (34) + infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 44
+--E 34
---S 45 of 267
+--S 35 of 224
in1214a:=integrate(-sin(z)*tan(z)*csc(z-1), z= 0..1,"noPole")
--R
--R
---R (44)
+--R (35)
--R 1 2 1 2
--R 4cos(-) sin(-)
--R 2 2
@@ -1935,13 +1789,13 @@ in1214a:=integrate(-sin(z)*tan(z)*csc(z-1), z=
0..1,"noPole")
--R 2sin(-) - 2cos(-)
--R 2 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 45
+--E 35
---S 46 of 267
+--S 36 of 224
in1217a:=integrate(sin(z)*sec(z)*tan(z)^(1/2), z= 0..1,"noPole")
--R
--R
---R (45)
+--R (36)
--R +------+
--R |sin(1) +-+
--R (2cos(1) |------ + (- sin(1) - cos(1))\|2 )
@@ -2039,13 +1893,13 @@ in1217a:=integrate(sin(z)*sec(z)*tan(z)^(1/2), z=
0..1,"noPole")
--R 16cos(1)\|2 |------ - 16sin(1) - 16cos(1)
--R \|cos(1)
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 46
+--E 36
---S 47 of 267
+--S 37 of 224
in1218a:=integrate(sin(z)*sec(z)/tan(z)^(1/2), z= 0..1,"noPole")
--R
--R
---R (46)
+--R (37)
--R +-+
--R 2\|2
--R *
@@ -2100,32 +1954,21 @@ in1218a:=integrate(sin(z)*sec(z)/tan(z)^(1/2), z=
0..1,"noPole")
--R /
--R 16
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 47
+--E 37
---S 48 of 267
+--S 38 of 224
in1a:=integrate(log(abs(z^2-1))/(1+z)^2, z= 0..%plusInfinity,"noPole")
--R
--R
---R (47) 1
+--R (38) 1
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 48
-
---S 49 of 267
-in13:=integrate(cos(z)^2*sin(z)^n, z)
---R
---R
---R z
---R ++ 2 n
---I (48) | cos(%K) sin(%K) d%K
---R ++
---R Type: Union(Expression
Integer,...)
---E 49
+--E 38
---S 50 of 267
+--S 39 of 224
in15ab:=integrate(log(sqrt(z)+z^5), z=0..a,"noPole")
--R
--R
---R (49)
+--R (39)
--R %pi
--R 6cos(---)
--R 9
@@ -2295,66 +2138,58 @@ in15ab:=integrate(log(sqrt(z)+z^5), z=0..a,"noPole")
--R /
--R 12
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 50
+--E 39
---S 51 of 267
+--S 40 of 224
in20a:=integrate(log(sin(z)^2+cos(z)^2), z= 0..1,"noPole")
--R
--R
---R (50) 0
+--R (40) 0
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 51
+--E 40
---S 52 of 267
+--S 41 of 224
in126a:=integrate(atan(1/cot(z)), z= 0..2*%pi,"noPole")
--R
--R
--R 2
---R (51) 2%pi
+--R (41) 2%pi
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 52
+--E 41
---S 53 of 267
+--S 42 of 224
in128a:=integrate(atan(sqrt(1-cos(z)^2)/(1+cos(z))), z= 0..1,"noPole")
--R
--R
--R 1
---R (52) -
+--R (42) -
--R 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 53
-
---S 54 of 267
-in134:=integrate(log(exp(z)), z= -I..I)
---R
---R
---R (53) 0
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 54
+--E 42
---S 55 of 267
+--S 43 of 224
in134a:=integrate(log(exp(z)), z= -%i..%i)
--R
--R
---R (54) 0
+--R (43) 0
--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
---E 55
+--E 43
---S 56 of 267
+--S 44 of 224
in1221a:=integrate(sin(z)*csc(z)*acoth(1/z), z= 0..1,"noPole")
--R
--R
--R log(4)
---R (55) ------
+--R (44) ------
--R 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 56
+--E 44
---S 57 of 267
+--S 45 of 224
in1228a:=integrate(sin(z)*csc(z)*tan(z)^(1/2), z= 0..1,"noPole")
--R
--R
---R (56)
+--R (45)
--R +-+
--R 2\|2
--R *
@@ -2409,23 +2244,23 @@ in1228a:=integrate(sin(z)*csc(z)*tan(z)^(1/2), z=
0..1,"noPole")
--R /
--R 16
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 57
+--E 45
---S 58 of 267
+--S 46 of 224
in1241a:=integrate(sin(z)*csc(z)*acoth(1/z), z= 0..1,"noPole")
--R
--R
--R log(4)
---R (57) ------
+--R (46) ------
--R 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 58
+--E 46
---S 59 of 267
+--S 47 of 224
in1248a:=integrate(sin(z)*csc(z)*tan(z)^(1/2), z= 0..1,"noPole")
--R
--R
---R (58)
+--R (47)
--R +-+
--R 2\|2
--R *
@@ -2480,13 +2315,13 @@ in1248a:=integrate(sin(z)*csc(z)*tan(z)^(1/2), z=
0..1,"noPole")
--R /
--R 16
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 59
+--E 47
---S 60 of 267
+--S 48 of 224
in1261a:=integrate(1/(sin(z)+cos(2*z)), z= -1..1,"noPole")
--R
--R
---R (59)
+--R (48)
--R 2 2
--R (- sin(1) + cos(1) + 2cos(1) + 1)
--R *
@@ -2529,119 +2364,111 @@ in1261a:=integrate(1/(sin(z)+cos(2*z)), z=
-1..1,"noPole")
--R 2 2 +-+
--R (3sin(1) - 3cos(1) - 6cos(1) - 3)\|3
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 60
-
---S 61 of 267
-in1273a:=integrate((1/(z-I))^(1/2), z= 0..%plusInfinity,"noPole")
---R
---R
---R (60) + infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 61
+--E 48
---S 62 of 267
-in1274a:=integrate(1/(1/(z-I))^(1/2), z= 0..%plusInfinity,"noPole")
+--S 49 of 224
+in1273a:=integrate((1/(z-%i))^(1/2), z= 0..%plusInfinity,"noPole")
--R
--R
---R (61) + infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 62
+--R (49) + infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 49
---S 63 of 267
-in1278a:=integrate((1+1/(I*z)^(1/2))^(1/2), z= 0..%plusInfinity,"noPole")
+--S 50 of 224
+in1274a:=integrate(1/(1/(z-%i))^(1/2), z= 0..%plusInfinity,"noPole")
--R
--R
---R (62) + infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 63
+--R (50) + infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 50
---S 64 of 267
+--S 51 of 224
in1284a:=integrate(log(1+2^(1/2)/z^(1/4)-1/z^(1/2)), z=
0..%plusInfinity,"noPole")
--R
--R
---R (63) + infinity
+--R (51) + infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 64
+--E 51
---S 65 of 267
+--S 52 of 224
in1314a:=integrate(log(1-z)*atanh(z^(1/2)), z= 0..1,"noPole")
--R
--R
--R log(16) - 6
---R (64) -----------
+--R (52) -----------
--R 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 65
+--E 52
---S 66 of 267
-in1359a:=integrate((I*z)^(1/2)*(-I*z)^(1/2), z=
%minusInfinity..%plusInfinity,"noPole")
+--S 53 of 224
+in1359a:=integrate((%i*z)^(1/2)*(-%i*z)^(1/2), z=
%minusInfinity..%plusInfinity,"noPole")
--R
--R
---R (65) + infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 66
+--R (53) + infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 53
---S 67 of 267
+--S 54 of 224
in1376a:=integrate(z*acoth(z^(1/2)), z= 0..1,"noPole")
--R
--R
--R 2
---R (66) -
+--R (54) -
--R 3
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 67
+--E 54
---S 68 of 267
+--S 55 of 224
in1377a:=integrate(z*acoth(1-z), z= 0..1,"noPole")
--R
--R
--R log(4) - 1
---R (67) ----------
+--R (55) ----------
--R 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 68
+--E 55
---S 69 of 267
+--S 56 of 224
in1378a:=integrate(z*acoth(1-(1-z)^(1/2)), z= 0..1,"noPole")
--R
--R
--R - 3log(4) + 5
---R (68) -------------
+--R (56) -------------
--R 3
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 69
+--E 56
---S 70 of 267
+--S 57 of 224
in1392a:=integrate(acoth(z^(1/2)), z= 0..1,"noPole")
--R
--R
---R (69) 1
+--R (57) 1
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 70
+--E 57
---S 71 of 267
+--S 58 of 224
in1397a:=integrate(1/(-1+z^(1/2))^(1/2), z= 1..2,"noPole")
--R
--R
--R +--------+
--R +-+ | +-+
--R (4\|2 + 8)\|\|2 - 1
---R (70) ----------------------
+--R (58) ----------------------
--R 3
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 71
+--E 58
---S 72 of 267
+--S 59 of 224
in1398a:=integrate(acoth(1/z), z= 1..2,"noPole")
--R
--R
--R 3log(9) - 2log(4)
---R (71) -----------------
+--R (59) -----------------
--R 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 72
+--E 59
---S 73 of 267
+--S 60 of 224
in1399a:=integrate(acoth(1/z^(1/2)), z= 1..2,"noPole")
--R
--R
@@ -2650,16 +2477,16 @@ in1399a:=integrate(acoth(1/z^(1/2)), z= 1..2,"noPole")
--R log(-----------) + 4\|2 - 4
--R +-+
--R 2\|2 - 3
---R (72) ----------------------------
+--R (60) ----------------------------
--R 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 73
+--E 60
---S 74 of 267
+--S 61 of 224
in143a:=integrate(sqrt(1+z)/(1+z^2), z= 0..1,"noPole")
--R
--R
---R (73)
+--R (61)
--R 4+-+ %pi
--R \|2 cos(---)
--R 8
@@ -2758,928 +2585,1256 @@ in143a:=integrate(sqrt(1+z)/(1+z^2), z=
0..1,"noPole")
--R /
--R 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 74
+--E 61
---S 75 of 267
-in144:=integrate(1, z= I*infinity..%plusInfinity)
+--S 62 of 224
+in144:=integrate(1, z= %i*infinity..%plusInfinity)
--R
--R
---R (74) + infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 75
+--R (62) + infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 62
---S 76 of 267
-in146a:=integrate(csc(z), z= 1-I..1+I,"noPole")
+--S 63 of 224
+in146a:=integrate(csc(z), z= 1-%i..1+%i,"noPole")
--R
--R
---R (75)
---R 2 2
---R sin(I + 1) sin(I - 1)
---R log(-----------------------------) - log(-----------------------------)
---R 2 2
---R cos(I + 1) + 2cos(I + 1) + 1 cos(I - 1) + 2cos(I - 1) + 1
---R -----------------------------------------------------------------------
---R 2
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 76
+--R (63)
+--R 2 2
+--R sin(1 + %i) sin(1 - %i)
+--R log(-------------------------------) -
log(-------------------------------)
+--R 2 2
+--R cos(1 + %i) + 2cos(1 + %i) + 1 cos(1 - %i) + 2cos(1 - %i) +
1
+--R
---------------------------------------------------------------------------
+--R 2
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 63
---S 77 of 267
+--S 64 of 224
in148:=integrate(min(1,z), z= 0..2)
--R
--R
---R (76) 2
+--R (64) 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 77
+--E 64
---S 78 of 267
+--S 65 of 224
in156a:=integrate(z^(2/3), z= 1..10,"noPole")
--R
--R
--R 3+--+2
--R 30\|10 - 3
---R (77) ------------
+--R (65) ------------
--R 5
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 78
-
---S 79 of 267
-in159a:=integrate(log(z)/z^2, z= -I..-1,"noPole")
---R
---R
---R 2
---R - log(I ) + 2I - 2
---R (78) ------------------
---R 2I
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 79
-
---S 80 of 267
-in160:=integrate((-z^2-z)^sin(z), z)
---R
---R
---R z
---I ++ 2 sin(%K)
---I (79) | (- %K - %K) d%K
---R ++
---R Type: Union(Expression
Integer,...)
---E 80
-
---S 81 of 267
-in1425a:=integrate(-(z^2+I*z+3)/(z^2+I*z+2), z= 0..%plusInfinity,"noPole")
---R
---R
---R (80) [- infinity,- infinity]
---R Type: Union(f2: List OrderedCompletion Expression
Integer,...)
---E 81
-
---S 82 of 267
-in1426a:=integrate(-I/(1+I*z^3)*z^3, z= 0..%plusInfinity,"noPole")
---R
---R
---R (81) - infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 82
-
---S 83 of 267
-in1428a:=integrate(-I/(1+I*z)*z, z= 0..%plusInfinity,"noPole")
---R
---R
---R (82) - infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 83
+--E 65
---S 84 of 267
-in1432:=integrate(-(z+I)*(-1+1/(z+I)), z= 0..%plusInfinity)
+--S 66 of 224
+in1425a:=integrate(-(z^2+%i*z+3)/(z^2+%i*z+2), z= 0..%plusInfinity,"noPole")
--R
--R
---R (83) + infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 84
+--R (66) - infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 66
---S 85 of 267
-in1433a:=integrate(-1/((I*z)^(1/2)-1)*(-2+(I*z)^(1/2)), z=
0..%plusInfinity,"noPole")
+--S 67 of 224
+in1426a:=integrate(-%i/(1+%i*z^3)*z^3, z= 0..%plusInfinity,"noPole")
--R
--R
---R (84) - infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 85
+--R (67) - infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 67
---S 86 of 267
-in1434a:=integrate(-(1+(I*z)^(1/2))/(I*z)^(1/2), z= 0..%plusInfinity,"noPole")
+--S 68 of 224
+in1428a:=integrate(-%i/(1+%i*z)*z, z= 0..%plusInfinity,"noPole")
--R
--R
---R (85) - infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 86
+--R (68) - infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 68
---S 87 of 267
-in1435a:=integrate(-1/(1+(I*z)^(1/2))*(I*z)^(1/2), z=
0..%plusInfinity,"noPole")
+--S 69 of 224
+in1432:=integrate(-(z+%i)*(-1+1/(z+%i)), z= 0..%plusInfinity)
--R
--R
---R (86) - infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 87
+--R (69) + infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 69
---S 88 of 267
-in1436a:=integrate(-((I*z)^(1/2)-1)/(-2+(I*z)^(1/2)), z=
0..%plusInfinity,"noPole")
+--S 70 of 224
+in1434a:=integrate(-(1+(%i*z)^(1/2))/(%i*z)^(1/2), z=
0..%plusInfinity,"noPole")
--R
--R
---R (87) - infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 88
+--R (70) - infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 70
---S 89 of 267
-in1440a:=integrate((1-(I*z)^(1/2))/(I*z)^(1/2), z= 0..%plusInfinity,"noPole")
+--S 71 of 224
+in1440a:=integrate((1-(%i*z)^(1/2))/(%i*z)^(1/2), z= 0..%plusInfinity,"noPole")
--R
--R
---R (88) - infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 89
+--R (71) - infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 71
---S 90 of 267
-in1460:=integrate(z^2+I*z+3, z= 0..%plusInfinity)
+--S 72 of 224
+in1460:=integrate(z^2+%i*z+3, z= 0..%plusInfinity)
--R
--R
---R (89) + infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 90
+--R (72) + infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 72
---S 91 of 267
-in1463a:=integrate(1-(I*z)^(1/2)/(1-I*z), z= 0..%plusInfinity,"noPole")
+--S 73 of 224
+in1464a:=integrate(1+1/(%i*z)^(1/2), z= 0..%plusInfinity,"noPole")
--R
--R
---R (90) + infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 91
+--R (73) + infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 73
---S 92 of 267
-in1464a:=integrate(1+1/(I*z)^(1/2), z= 0..%plusInfinity,"noPole")
+--S 74 of 224
+in2045:=integrate(atan(1/tan(z)), z= 0..2*%pi,"noPole")
--R
--R
---R (91) + infinity
+--R 2
+--R (74) - 3%pi
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 92
-
---S 93 of 267 used to work
-in2045:=integrate(atan(1/tan(z)), z= 0..2*Pi)
---R
---R There are 34 exposed and 23 unexposed library operations named *
---R having 2 argument(s) but none was determined to be applicable.
---R Use HyperDoc Browse, or issue
---R )display op *
---R to learn more about the available operations. Perhaps
---R package-calling the operation or using coercions on the arguments
---R will allow you to apply the operation.
---R
---RDaly Bug
---R Cannot find a definition or applicable library operation named *
---R with argument type(s)
---R PositiveInteger
---R Domain
---R
---R Perhaps you should use "@" to indicate the required return type,
---R or "$" to specify which version of the function you need.
---E 93
---
--- 2
--- - 3%pi
--- Type: Union(f1: OrderedCompletion Expression Integer,...)
+--E 74
---S 94 of 267
+--S 75 of 224
in1502a:=integrate(log(z)^2*log(-z), z= 0..%plusInfinity,"noPole")
--R
--R
---R (92) + infinity
+--R (75) + infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 94
-
---S 94 of 267
-in1512a:=integrate(log(z)*(1/(z-I))^(1/2), z= 1..%plusInfinity,"noPole")
---R
---R
---R (93) [ + infinity, + infinity]
---R Type: Union(f2: List OrderedCompletion Expression
Integer,...)
---E 94
+--E 75
---S 96 of 267
-in1513a:=integrate(log(z)*(1/(z+I))^(1/2), z= 1..%plusInfinity,"noPole")
+--S 76 of 224
+in1512a:=integrate(log(z)*(1/(z-%i))^(1/2), z= 1..%plusInfinity,"noPole")
--R
--R
---R (94) [ + infinity, + infinity]
---R Type: Union(f2: List OrderedCompletion Expression
Integer,...)
---E 96
+--R (76) [ + infinity, + infinity]
+--R Type: Union(f2: List OrderedCompletion Expression Complex
Integer,...)
+--E 76
---S 97 of 267
-in1514a:=integrate(log(z)/(I/(z-I))^(1/2), z= 1..%plusInfinity,"noPole")
+--S 77 of 224
+in1513a:=integrate(log(z)*(1/(z+%i))^(1/2), z= 1..%plusInfinity,"noPole")
--R
--R
---R (95) + infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 97
+--R (77) [ + infinity, + infinity]
+--R Type: Union(f2: List OrderedCompletion Expression Complex
Integer,...)
+--E 77
---S 98 of 267
-in1563a:=integrate(log(1-z^3)*(I*z)^(1/2), z= 0..1,"noPole")
+--S 78 of 224
+in1514a:=integrate(log(z)/(%i/(z-%i))^(1/2), z= 1..%plusInfinity,"noPole")
--R
--R
---R 2
---R 16I 2 +-+
---R (log(----) - log(I ) + log(9) - 4)\|I
---R 9
---R (96) [--------------------------------------,- infinity]
---R 3
---R Type: Union(f2: List OrderedCompletion Expression
Integer,...)
---E 98
+--R (78) + infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 78
---S 99 of 267
+--S 79 of 224
in161:=integrate((-z^2)^(1/3), z)
--R
--R
--R +----+
--R 3| 2
--R 3z\|- z
---R (97) ---------
+--R (79) ---------
--R 5
--R Type: Union(Expression
Integer,...)
---E 99
-
---S 100 of 267
-in163:=integrate(log(z)*abs(exp(z)/z), z)
---R
---R
---I z %K
---R ++ %e
---I (98) | log(%K)abs(----)d%K
---I ++ %K
---R Type: Union(Expression
Integer,...)
---E 100
-
---S 101 of 267
-in166:=integrate((1+z)^z, z)
---R
---R
---R z
---I ++ %K
---I (99) | (%K + 1) d%K
---R ++
---R Type: Union(Expression
Integer,...)
---E 101
+--E 79
---S 102 of 267
+--S 80 of 224
in179:=integrate(1/(1+(3*z+1)^2), z)
--R
--R
---R atan(3z + 1)
---R (100) ------------
---R 3
+--R atan(3z + 1)
+--R (80) ------------
+--R 3
--R Type: Union(Expression
Integer,...)
---E 102
+--E 80
---S 103 of 267
-in1636a:=integrate(-z/(z-1)/(1/(z-I))^(1/2), z= 0..1,"noPole")
+--S 81 of 224
+in1636a:=integrate(-z/(z-1)/(1/(z-%i))^(1/2), z= 0..1,"noPole")
--R
--R
---R (101)
+--R (81)
--R [ + infinity,
--R
---R +-------+ +---+
---R +-----+ \|- I + 1 +-----+ \|- I
---R 6\|I - 1 log(- ----------) - 6\|I - 1 atan(--------)
---R +-----+ +-----+
---R 2\|I - 1 \|I - 1
+--R +------+ +----+
+--R +---------+ \|1 - %i +---------+ 2\|- %i
+--R 3\|- 4 + 4%i log(- ------------) - 3\|- 4 + 4%i atan(------------)
+--R +---------+ +---------+
+--R \|- 4 + 4%i \|- 4 + 4%i
--R +
---R +-------+ +---+
---R (2I - 8)\|- I + 1 + (- 2I + 6)\|- I
+--R +------+ +----+
+--R (- 8 + 2%i)\|1 - %i + (6 - 2%i)\|- %i
--R /
--R 3
--R ]
---R Type: Union(f2: List OrderedCompletion Expression
Integer,...)
---E 103
-
---S 104 of 267
-in1638a:=integrate(-z/(z-1)/(1-I*z)^(1/2), z= 0..1,"noPole")
---R
---R
---R (102)
---R [ + infinity,
---R
---R +-------+ +-----+ +-----+
---R \|- I + 1 \|I - 1 \|I - 1
---R - 2I log(- ------------------) + 2I atan(--------)
---R 2I - 2 I - 1
---R +
---R +-------+ +-----+
---R (2\|- I + 1 - 2)\|I - 1
---R /
---R +-----+
---R I\|I - 1
---R ]
---R Type: Union(f2: List OrderedCompletion Expression
Integer,...)
---E 104
+--R Type: Union(f2: List OrderedCompletion Expression Complex
Integer,...)
+--E 81
---S 105 of 267
-in1639a:=integrate(-z/(z-1)/(1-I*z^2)^(1/2), z= 0..1,"noPole")
+--S 82 of 224
+in1639a:=integrate(-z/(z-1)/(1-%i*z^2)^(1/2), z= 0..1,"noPole")
--R
--R
---R (103)
---R [ + infinity,
---R
---R +-----+
---R \|I - 1
---R *
---R log
---R 2 +---+ 2 +-------+ 2
+---+
---R ((2I - 4I)\|- I + 4I - 2I)\|- I + 1 + (- 4I + 4I)\|-
I
---R +
---R 3 2
---R 2I - 5I + 2I
---R /
---R +-------+
---R 2\|- I + 1 + I - 2
---R +
---R +-------+ +-----+ +-----+
---R +---+ (- \|- I + 1 - I + 1)\|I - 1 +---+ \|I - 1
---R 4\|- I log(------------------------------) + 4\|- I atan(--------)
---R +-------+ I - 1
---R (2I - 2)\|- I + 1 - 2I + 2
---R +
---R +-----+
---R - log(- I)\|I - 1
---R /
---R +---+ +-----+
---R 2\|- I \|I - 1
---R ,
---R + infinity,
---R
---R +-------+ +-----+
---R +-+ (- \|- I + 1 - I + 1)\|I - 1
---R 2\|I log(------------------------------)
---R +-------+
---R (2I - 2)\|- I + 1 - 2I + 2
---R +
---R +-------+ +-+ +-----+
---R +-----+ (\|- I + 1 - 1)\|I +-+ \|I - 1
---R 2\|I - 1 atan(--------------------) + 2\|I atan(--------)
---R I I - 1
---R /
---R +-----+ +-+
---R \|I - 1 \|I
---R ]
---R Type: Union(f2: List OrderedCompletion Expression
Integer,...)
---E 105
+--R (82)
+--R +------------------------+
+--R | +-+ +----+
+--R |(1 + 3%i)\|2 + 2\|- %i
+--R |------------------------
+--R | +-+
+--R \| \|2
+--R *
+--R log
+--R +------+ +-+ +----+ +------+
+--R (16\|1 - %i - 16%i)\|2 + (48 - 16%i)\|- %i \|1 - %i
+--R +
+--R +----+
+--R (- 16 + 16%i)\|- %i
+--R *
+--R +------------------------+
+--R | +-+ +----+
+--R |(1 + 3%i)\|2 + 2\|- %i
+--R |------------------------
+--R | +-+
+--R \| \|2
+--R +
+--R +------+ +-+ +----+
+------+
+--R (- 32\|1 - %i + 64 - 64%i)\|2 + (32 + 32%i)\|- %i \|1 - %i
+--R /
+--R +-+
+--R \|2
+--R +
+--R -
+--R +------------------------+
+--R | +-+ +----+
+--R |(1 + 3%i)\|2 + 2\|- %i
+--R |------------------------
+--R | +-+
+--R \| \|2
+--R *
+--R log
+--R +------------------------+
+--R | +-+ +----+
+--R +-+ +----+ |(1 + 3%i)\|2 + 2\|- %i
+--R ((16 - 16%i)\|2 + 32\|- %i ) |------------------------
+--R | +-+
+--R \| \|2
+--R +
+--R +-+ +----+
+--R (32 - 32%i)\|2 + (32 + 32%i)\|- %i
+--R /
+--R +-+
+--R \|2
+--R +
+--R +------------------------+
+--R | +-+ +----+
+--R |(1 + 3%i)\|2 - 2\|- %i
+--R |------------------------
+--R | +-+
+--R \| \|2
+--R *
+--R log
+--R +------+ +-+ +----+ +------+
+--R (16\|1 - %i - 16%i)\|2 + (- 48 + 16%i)\|- %i \|1 - %i
+--R +
+--R +----+
+--R (16 - 16%i)\|- %i
+--R *
+--R +------------------------+
+--R | +-+ +----+
+--R |(1 + 3%i)\|2 - 2\|- %i
+--R |------------------------
+--R | +-+
+--R \| \|2
+--R +
+--R +------+ +-+ +----+
+------+
+--R (- 32\|1 - %i + 64 - 64%i)\|2 + (- 32 - 32%i)\|- %i \|1 -
%i
+--R /
+--R +-+
+--R \|2
+--R +
+--R -
+--R +------------------------+
+--R | +-+ +----+
+--R |(1 + 3%i)\|2 - 2\|- %i
+--R |------------------------
+--R | +-+
+--R \| \|2
+--R *
+--R log
+--R +------------------------+
+--R | +-+ +----+
+--R +-+ +----+ |(1 + 3%i)\|2 - 2\|- %i
+--R ((16 - 16%i)\|2 - 32\|- %i ) |------------------------
+--R | +-+
+--R \| \|2
+--R +
+--R +-+ +----+
+--R (32 - 32%i)\|2 + (- 32 - 32%i)\|- %i
+--R /
+--R +-+
+--R \|2
+--R +
+--R +------------------------+
+--R | +-+ +----+
+--R |(1 + 3%i)\|2 - 2\|- %i
+--R |------------------------
+--R | +-+
+--R \| \|2
+--R *
+--R log
+--R +------------------------+
+--R | +-+ +----+
+--R +-+ +----+ |(1 + 3%i)\|2 - 2\|- %i
+--R ((- 16 + 16%i)\|2 + 32\|- %i ) |------------------------
+--R | +-+
+--R \| \|2
+--R +
+--R +-+ +----+
+--R (32 - 32%i)\|2 + (- 32 - 32%i)\|- %i
+--R /
+--R +-+
+--R \|2
+--R +
+--R -
+--R +------------------------+
+--R | +-+ +----+
+--R |(1 + 3%i)\|2 - 2\|- %i
+--R |------------------------
+--R | +-+
+--R \| \|2
+--R *
+--R log
+--R +------+ +-+ +----+
+------+
+--R (- 16\|1 - %i + 16%i)\|2 + (48 - 16%i)\|- %i \|1 -
%i
+--R +
+--R +----+
+--R (- 16 + 16%i)\|- %i
+--R *
+--R +------------------------+
+--R | +-+ +----+
+--R |(1 + 3%i)\|2 - 2\|- %i
+--R |------------------------
+--R | +-+
+--R \| \|2
+--R +
+--R +------+ +-+ +----+
+------+
+--R (- 32\|1 - %i + 64 - 64%i)\|2 + (- 32 - 32%i)\|- %i \|1
- %i
+--R /
+--R +-+
+--R \|2
+--R +
+--R +------------------------+
+--R | +-+ +----+
+--R |(1 + 3%i)\|2 + 2\|- %i
+--R |------------------------
+--R | +-+
+--R \| \|2
+--R *
+--R log
+--R +------------------------+
+--R | +-+ +----+
+--R +-+ +----+ |(1 + 3%i)\|2 + 2\|- %i
+--R ((- 16 + 16%i)\|2 - 32\|- %i ) |------------------------
+--R | +-+
+--R \| \|2
+--R +
+--R +-+ +----+
+--R (32 - 32%i)\|2 + (32 + 32%i)\|- %i
+--R /
+--R +-+
+--R \|2
+--R +
+--R -
+--R +------------------------+
+--R | +-+ +----+
+--R |(1 + 3%i)\|2 + 2\|- %i
+--R |------------------------
+--R | +-+
+--R \| \|2
+--R *
+--R log
+--R +------+ +-+
+--R (- 16\|1 - %i + 16%i)\|2
+--R +
+--R +----+ +------+ +----+
+--R (- 48 + 16%i)\|- %i \|1 - %i + (16 - 16%i)\|- %i
+--R *
+--R +------------------------+
+--R | +-+ +----+
+--R |(1 + 3%i)\|2 + 2\|- %i
+--R |------------------------
+--R | +-+
+--R \| \|2
+--R +
+--R +------+ +-+ +----+
+------+
+--R (- 32\|1 - %i + 64 - 64%i)\|2 + (32 + 32%i)\|- %i \|1 -
%i
+--R /
+--R +-+
+--R \|2
+--R /
+--R 4
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 82
---S 106 of 267
-in1712a:=integrate(-log(-z)*(-I*z)^(1/2), z= 0..1,"noPole")
+--S 83 of 224
+in1712a:=integrate(-log(-z)*(-%i*z)^(1/2), z= 0..1,"noPole")
--R
--R
---R +---+
---R 4\|- I
---R (104) -------
+--R +----+
+--R 4\|- %i
+--R (83) --------
--R 9
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 106
-
---S 107 of 267
-in1720a:=integrate(-z^2/(z^2-1)*(1/(z-I))^(1/2), z= 0..1,"noPole")
---R
---R
---R (105)
---R [ + infinity,
---R
---R +-----+ 2 +-------+ +---+ 3 2
---R - \|I - 1 log((- 8I - 12I - 4)\|- I - 1 \|- I - 8I - 16I - 9I
- 1)
---R +
---R +-----+ 2 +-------+ +-------+ 3 2
---R \|I - 1 log((- 2I - 2I)\|- I - 1 \|- I + 1 - 2I - 2I + I + 1)
---R +
---R +-------+ +-----+
---R +-------+ \|- I + 1 \|I - 1
---R - 4\|- I - 1 log(- ------------------)
---R 2I - 2
---R +
---R +---+ +-----+
---R +-------+ \|- I \|I - 1
---R 4\|- I - 1 atan(--------------)
---R I - 1
---R +
---R +-------+ +-------+ +-------+ +---+ +-----+
---R (- 8\|- I - 1 \|- I + 1 + 8\|- I - 1 \|- I )\|I - 1
---R /
---R +-------+ +-----+
---R 4\|- I - 1 \|I - 1
---R ,
---R + infinity,
---R
---R +-------+ +-----+ +-------+
+-----+
---R +-----+ \|- I + 1 \|I - 1 +-----+ \|- I + 1 \|I +
1
---R - \|I + 1 log(- ------------------) + \|I - 1
atan(------------------)
---R 2I - 2 I + 1
---R +
---R +---+ +-----+ +---+ +-----+
---R +-----+ \|- I \|I + 1 +-----+ \|- I \|I - 1
---R - \|I - 1 atan(--------------) + \|I + 1 atan(--------------)
---R I + 1 I - 1
---R +
---R +-------+ +---+ +-----+ +-----+
---R (- 2\|- I + 1 + 2\|- I )\|I - 1 \|I + 1
---R /
---R +-----+ +-----+
---R \|I - 1 \|I + 1
---R ]
---R Type: Union(f2: List OrderedCompletion Expression
Integer,...)
---E 107
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 83
---S 108 of 267
-in1721a:=integrate(-z^2/(z^2-1)/(1/(z-I))^(1/2), z= 0..1,"noPole")
---R
---R
---R (106)
---R [ + infinity, + infinity,
---R
---R +-------+ +-------+ +-------+ 2
---R 3\|- I - 1 log(2I\|- I - 1 \|- I + 1 + 2I - 1)
---R +
---R +-------+ +-------+ +---+ 2
---R - 3\|- I - 1 log((8I + 4)\|- I - 1 \|- I + 8I + 8I + 1)
---R +
---R +-------+ +---+
---R +-----+ \|- I + 1 +-----+ \|- I
---R 12\|I - 1 log(- ----------) - 12\|I - 1 atan(--------)
---R +-----+ +-----+
---R 2\|I - 1 \|I - 1
---R +
---R +-------+ +---+
---R (8I - 8)\|- I + 1 - 8I\|- I
---R /
---R 12
---R ,
---R
---R +-------+ +---+
---R +-----+ \|- I + 1 +-----+ \|- I
---R 3\|I - 1 log(- ----------) - 3\|I - 1 atan(--------)
---R +-----+ +-----+
---R 2\|I - 1 \|I - 1
---R +
---R +-------+ +---+
---R +-----+ \|- I + 1 +-----+ \|- I
---R - 3\|I + 1 atan(----------) + 3\|I + 1 atan(--------)
---R +-----+ +-----+
---R \|I + 1 \|I + 1
---R +
---R +-------+ +---+
---R (2I - 2)\|- I + 1 - 2I\|- I
---R /
---R 3
---R ]
---R Type: Union(f2: List OrderedCompletion Expression
Integer,...)
---E 108
+--S 84 of 224
+in1720a:=integrate(-z^2/(z^2-1)*(1/(z-%i))^(1/2), z= 0..1,"noPole")
+--R
+--R
+--R (84)
+--R +------+ +------+
+--R | 1 | 1 +------+
+--R - %i |------ log((2 - 2%i) |------ \|1 - %i - 2%i)
+--R \|1 + %i \|1 + %i
+--R +
+--R +------+ +------+
+--R | %i | %i +------+
+--R |------ log((2 - 2%i) |------ \|1 - %i + 2 - 2%i)
+--R \|1 + %i \|1 + %i
+--R +
+--R +------+ +------+
+--R | 1 +----+ | 1
+--R %i |------ log((2 - 2%i)\|- %i |------ - 1 - 2%i)
+--R \|1 + %i \|1 + %i
+--R +
+--R +------+ +------+
+--R | %i | %i +----+
+--R - |------ log((2 - 2%i) |------ \|- %i + 1 - 2%i)
+--R \|1 + %i \|1 + %i
+--R +
+--R +------+ +------+
+--R | %i | %i +----+
+--R |------ log((- 2 + 2%i) |------ \|- %i + 1 - 2%i)
+--R \|1 + %i \|1 + %i
+--R +
+--R +------+ +------+
+--R | 1 +----+ | 1
+--R - %i |------ log((- 2 + 2%i)\|- %i |------ - 1 - 2%i)
+--R \|1 + %i \|1 + %i
+--R +
+--R +------+ +------+
+--R | %i | %i +------+
+--R - |------ log((- 2 + 2%i) |------ \|1 - %i + 2 - 2%i)
+--R \|1 + %i \|1 + %i
+--R +
+--R +------+ +------+
+--R | 1 | 1 +------+ +------+
+----+
+--R %i |------ log((- 2 + 2%i) |------ \|1 - %i - 2%i) - 8\|1 - %i +
8\|- %i
+--R \|1 + %i \|1 + %i
+--R /
+--R 4
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 84
---S 109 of 267
-in1723a:=integrate(-z^2/(z^2-1)*(1+I/z)^(1/2), z= 0..1,"noPole")
+--S 85 of 224
+in1721a:=integrate(-z^2/(z^2-1)/(1/(z-%i))^(1/2), z= 0..1,"noPole")
--R
--R
---R (107)
---R [ + infinity, + infinity,
---R
---R +-----+
---R +-----+ +-+ +-------+ \|I + 1
---R - 2I log(\|I + 1 + 1) + 2I log(\|I ) + 4\|- I - 1 log(-
-----------)
---R
+-------+
---R 2\|- I - 1
---R +
---R +-----+
---R I log(- 2\|I + 1 + I + 2)
---R +
---R +-------+ +-------+ +-----+ 2 +-----+
---R \|- I + 1 log(- 2\|- I + 1 \|I + 1 - I + 2) - 4\|I + 1
---R +
---R 2 +-------+ +-------+
---R - log(I )\|- I + 1 - 2%pi\|- I - 1 - I log(I)
---R /
---R 4
---R ,
---R
---R +-----+
---R +-----+ +-+ +-------+ \|I + 1
---R - 2I log(\|I + 1 + 1) + 2I log(\|I ) + 4\|- I - 1 log(-
-----------)
---R
+-------+
---R 2\|- I - 1
---R +
---R +-----+
---R +-----+ +-----+ \|I - 1 +-----+
---R I log(- 2\|I + 1 + I + 2) + 4\|I - 1 atan(--------) - 4\|I + 1
---R +-----+
---R \|I + 1
---R +
---R +-------+
---R - 2%pi\|- I - 1 - I log(I)
---R /
---R 4
---R ]
---R Type: Union(f2: List OrderedCompletion Expression
Integer,...)
---E 109
+--R (85) + infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 85
---S 110 of 267
-in1724a:=integrate(-z^2/(z^2-1)*(1-(I*z)^(1/2))^(1/2), z= 0..1,"noPole")
+--S 86 of 224
+in1723a:=integrate(-z^2/(z^2-1)*(1+%i/z)^(1/2), z= 0..1,"noPole")
--R
--R
---R +----------+
---R +-+ | +-+
---R (4\|I - 12I + 8)\|- \|I + 1 - 8
---R (108) ----------------------------------
---R 15I
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 110
+--R (86) + infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 86
---S 111 of 267
+--S 87 of 224
in1731:=integrate(-log(1-z^2)*atanh(z), z= 0..1)
--R
--R
---R 2
---R - log(4) + 4log(4)
---R (109) -------------------
---R 4
+--R 2
+--R - log(4) + 4log(4)
+--R (87) -------------------
+--R 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 111
+--E 87
---S 112 of 267
+--S 88 of 224
in1793a:=integrate((1-z^(1/2))^(1/2)*acoth(z^(1/2)), z= 0..1,"noPole")
--R
--R
---R +-+ +-+
---R - 2\|2 log(12\|2 + 17) + 16
---R (110) ----------------------------
---R 15
+--R +-+ +-+
+--R - 2\|2 log(12\|2 + 17) + 16
+--R (88) ----------------------------
+--R 15
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 112
+--E 88
---S 113 of 267
+--S 89 of 224
in1794a:=integrate((1-z^(1/2))^(1/2)*acoth(1-z^(1/2)), z= 0..1,"noPole")
--R
--R
---R - 4log(2) - 8%pi + 32
---R (111) ---------------------
---R 15
+--R - 4log(2) - 8%pi + 32
+--R (89) ---------------------
+--R 15
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 113
+--E 89
---S 114 of 267
+--S 90 of 224
in1796a:=integrate((1+(1-z)^(1/2))^(1/2), z= 0..1,"noPole")
--R
--R
---R +-+
---R 8\|2 + 8
---R (112) ---------
---R 15
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 114
-
---S 115 of 267
-in183:=integrate(1/z, z= I..2*I)
---R
---R
---R 2 2
---R log(4I ) - log(I )
---R (113) ------------------
---R 2
+--R +-+
+--R 8\|2 + 8
+--R (90) ---------
+--R 15
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 115
+--E 90
---S 116 of 267
-in184:=integrate(exp(I*z), z= I..2*I)
+--S 91 of 224
+in184:=integrate(exp(%i*z), z= %i..2*%i)
--R
--R
---R 2 2
---R 2I I
---R %e - %e
---R (114) ------------
---R I
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 116
+--R 2
+--R %i %e - %i %e
+--R (91) --------------
+--R 2
+--R %e %e
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 91
---S 117 of 267
+--S 92 of 224
in184a:=integrate(exp(%i*z), z= %i..2*%i)
--R
--R
---R 2
---R %i %e - %i %e
---R (115) --------------
---R 2
---R %e %e
+--R 2
+--R %i %e - %i %e
+--R (92) --------------
+--R 2
+--R %e %e
--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
---E 117
+--E 92
---S 118 of 267
-in187a:=integrate(2^log(z), z= -I..I,"noPole")
+--S 93 of 224
+in187a:=integrate(2^log(z), z= -%i..%i,"noPole")
--R
--R
---R log(2)log(I) log(2)log(- I)
---R I %e + I %e
---R (116) -------------------------------------
---R log(2) + 1
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 118
+--R log(%i)log(2) log(- %i)log(2)
+--R %i %e + %i %e
+--R (93) -----------------------------------------
+--R log(2) + 1
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 93
---S 119 of 267
+--S 94 of 224
in187a:=integrate(2^log(z), z= -%i..%i,"noPole")
--R
--R
---R log(%i)log(2) log(- %i)log(2)
---R %i %e + %i %e
---R (117) -----------------------------------------
---R log(2) + 1
+--R log(%i)log(2) log(- %i)log(2)
+--R %i %e + %i %e
+--R (94) -----------------------------------------
+--R log(2) + 1
--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
---E 119
+--E 94
---S 120 of 267
+--S 95 of 224
in194a:=integrate(sqrt(z^2), z= 1..2,"noPole")
--R
--R
---R 3
---R (118) -
---R 2
+--R 3
+--R (95) -
+--R 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 120
+--E 95
---S 121 of 267
-in1854a:=integrate(1/(z-1)/(1/(z-I))^(1/2), z= 0..1,"noPole")
+--S 96 of 224
+in1854a:=integrate(1/(z-1)/(1/(z-%i))^(1/2), z= 0..1,"noPole")
--R
--R
---R (119)
---R [- infinity,
+--R (96)
+--R [ + infinity,
--R
---R +-------+ +---+
---R +-----+ \|- I + 1 +-----+ \|- I +-------+
---R - 2\|I - 1 log(- ----------) + 2\|I - 1 atan(--------) + 2\|- I + 1
---R +-----+ +-----+
---R 2\|I - 1 \|I - 1
+--R +------+ +----+
+--R +---------+ \|1 - %i +---------+ 2\|- %i
+--R - \|- 4 + 4%i log(- ------------) + \|- 4 + 4%i atan(------------)
+--R +---------+ +---------+
+--R \|- 4 + 4%i \|- 4 + 4%i
--R +
---R +---+
---R - 2\|- I
+--R +------+ +----+
+--R 2\|1 - %i - 2\|- %i
--R ]
---R Type: Union(f2: List OrderedCompletion Expression
Integer,...)
---E 121
+--R Type: Union(f2: List OrderedCompletion Expression Complex
Integer,...)
+--E 96
---S 122 of 267
-in1856a:=integrate(1/(z-1)/(1-I*z)^(1/2), z= 0..1,"noPole")
+--S 97 of 224
+in1856a:=integrate(1/(z-1)/(1-%i*z)^(1/2), z= 0..1,"noPole")
--R
--R
---R +-------+ +-----+ +-----+
---R \|- I + 1 \|I - 1 \|I - 1
---R 2log(- ------------------) - 2atan(--------)
---R 2I - 2 I - 1
---R (120) [- infinity,--------------------------------------------]
---R +-----+
---R \|I - 1
---R Type: Union(f2: List OrderedCompletion Expression
Integer,...)
---E 122
+--R (97)
+--R [ + infinity,
+--R +------+
+--R +---------+ %i\|1 - %i +---------+ 1 + %i
+--R - \|- 2 - 2%i log(- --------------------) + \|- 2 - 2%i
atan(------------)]
+--R +---------+
+---------+
+--R (1 + %i)\|- 2 - 2%i \|- 2 - 2%i
+--R Type: Union(f2: List OrderedCompletion Expression Complex
Integer,...)
+--E 97
---S 123 of 267 used to work
-in1859a:=integrate(1/(z^2-1)*(1+1/z^3)^(1/2), z= 0..1,"noPole")
---R
---R
---R (121) "failed"
---R Type: Union(fail:
failed,...)
---E 123
---
--- +-------------------+
--- | 2
--- (- \|- 3%%EM0 - 2 + 6%i - %%EM0)
--- *
--- log
--- +--+ +--+
--- ((8 + 72%i)\|%i + 10 + 8%i)%%EM0 + (- 2 - 18%i)\|%i + 2
--- +
--- 18%i
--- *
--- +-------------------+
--- | 2
--- \|- 3%%EM0 - 2 + 6%i
--- +
--- +--+ 2
--- ((- 8 - 72%i)\|%i - 10 - 8%i)%%EM0
--- +
--- +--+ +--+
--- ((- 2 - 18%i)\|%i + 2 + 18%i)%%EM0 + (- 128 - 4%i)\|%i - 68
--- +
--- - 120%i
--- +
--- +-------------------+
--- | 2
--- (\|- 3%%EM0 - 2 + 6%i + %%EM0)
--- *
--- log
--- +-------------------+
--- | 2
--- ((10 + 8%i)%%EM0 + 2 + 18%i)\|- 3%%EM0 - 2 + 6%i
--- +
--- 2
--- (- 10 - 8%i)%%EM0 + (2 + 18%i)%%EM0 - 50 - 40%i
--- +
--- +-------------------+
--- | 2
--- (- \|- 3%%EM0 - 2 + 6%i + %%EM0)
--- *
--- log
--- +-------------------+
--- | 2
--- ((- 10 - 8%i)%%EM0 - 2 - 18%i)\|- 3%%EM0 - 2 + 6%i
--- +
--- 2
--- (- 10 - 8%i)%%EM0 + (2 + 18%i)%%EM0 - 50 - 40%i
--- +
--- +-------------------+
--- | 2
--- (\|- 3%%EM0 - 2 + 6%i - %%EM0)
--- *
--- log
--- +--+ +--+
--- ((- 8 - 72%i)\|%i - 10 - 8%i)%%EM0 + (2 + 18%i)\|%i - 2
--- +
--- - 18%i
--- *
--- +-------------------+
--- | 2
--- \|- 3%%EM0 - 2 + 6%i
--- +
--- +--+ 2
--- ((- 8 - 72%i)\|%i - 10 - 8%i)%%EM0
--- +
--- +--+ +--+
--- ((- 2 - 18%i)\|%i + 2 + 18%i)%%EM0 + (- 128 - 4%i)\|%i - 68
--- +
--- - 120%i
--- +
--- 2%%EM0
--- *
--- log
--- +--+ 2
--- ((72 - 8%i)\|%i + 8 - 10%i)%%EM0
--- +
--- +--+ +--+
--- ((18 - 2%i)\|%i - 18 + 2%i)%%EM0 + (22 - 48%i)\|%i - 71 + 17%i
--- +
--- 2
--- - 2%%EM0 log((8 - 10%i)%%EM0 + (- 18 + 2%i)%%EM0 - 31 + 8%i)
--- /
--- 4
--- Type: Union(f1: OrderedCompletion Expression Complex Integer,...)
-
---S 124 of 267
-in1863a:=integrate(1/(z^2-1)*(1/(z-I))^(1/2), z= 0..1,"noPole")
---R
---R
---R (122)
---R [- infinity,
---R
---R +-----+ 2 +-------+ +-------+ 3 2
---R \|I - 1 log((2I + 2I)\|- I - 1 \|- I + 1 - 2I - 2I + I + 1)
---R +
---R +-----+ 2 +-------+ +---+ 3 2
---R - \|I - 1 log((8I + 12I + 4)\|- I - 1 \|- I - 8I - 16I - 9I -
1)
---R +
---R +-------+ +-----+ +---+
+-----+
---R +-------+ \|- I + 1 \|I - 1 +-------+ \|- I \|I -
1
---R 4\|- I - 1 log(- ------------------) - 4\|- I - 1
atan(--------------)
---R 2I - 2 I - 1
---R /
---R +-------+ +-----+
---R 4\|- I - 1 \|I - 1
---R ,
---R - infinity,
---R
---R +-------+ +-----+ +-------+ +-----+
---R +-----+ \|- I + 1 \|I - 1 +-----+ \|- I + 1 \|I + 1
---R \|I + 1 log(- ------------------) - \|I - 1
atan(------------------)
---R 2I - 2 I + 1
---R +
---R +---+ +-----+ +---+ +-----+
---R +-----+ \|- I \|I + 1 +-----+ \|- I \|I - 1
---R \|I - 1 atan(--------------) - \|I + 1 atan(--------------)
---R I + 1 I - 1
---R /
---R +-----+ +-----+
---R \|I - 1 \|I + 1
---R ]
---R Type: Union(f2: List OrderedCompletion Expression
Integer,...)
---E 124
+--S 98 of 224
+in1863a:=integrate(1/(z^2-1)*(1/(z-%i))^(1/2), z= 0..1,"noPole")
+--R
+--R
+--R (98)
+--R +------+ +------+
+--R | 1 | 1 +------+
+--R %i |------ log((2 - 2%i) |------ \|1 - %i - 2%i)
+--R \|1 + %i \|1 + %i
+--R +
+--R +------+ +------+
+--R | %i | %i +------+
+--R - |------ log((2 - 2%i) |------ \|1 - %i + 2 - 2%i)
+--R \|1 + %i \|1 + %i
+--R +
+--R +------+ +------+
+--R | 1 +----+ | 1
+--R - %i |------ log((2 - 2%i)\|- %i |------ - 1 - 2%i)
+--R \|1 + %i \|1 + %i
+--R +
+--R +------+ +------+
+--R | %i | %i +----+
+--R |------ log((2 - 2%i) |------ \|- %i + 1 - 2%i)
+--R \|1 + %i \|1 + %i
+--R +
+--R +------+ +------+
+--R | %i | %i +----+
+--R - |------ log((- 2 + 2%i) |------ \|- %i + 1 - 2%i)
+--R \|1 + %i \|1 + %i
+--R +
+--R +------+ +------+
+--R | 1 +----+ | 1
+--R %i |------ log((- 2 + 2%i)\|- %i |------ - 1 - 2%i)
+--R \|1 + %i \|1 + %i
+--R +
+--R +------+ +------+
+--R | %i | %i +------+
+--R |------ log((- 2 + 2%i) |------ \|1 - %i + 2 - 2%i)
+--R \|1 + %i \|1 + %i
+--R +
+--R +------+ +------+
+--R | 1 | 1 +------+
+--R - %i |------ log((- 2 + 2%i) |------ \|1 - %i - 2%i)
+--R \|1 + %i \|1 + %i
+--R /
+--R 4
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 98
---S 125 of 267
+--S 99 of 224
in1864a:=integrate(1/(z^2-1)*((1+z)/(z-1))^(1/3), z= 0..1,"noPole")
--R
--R
---R (123) + infinity
+--R (99) + infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 125
-
---S 126 of 267
-in1866a:=integrate(1/(z^2-1)*(1-I/z)^(1/2), z= 0..1,"noPole")
---R
---R
---R (124)
---R [- infinity,
---R
---R
+-----+
---R +-----+ +-------+ +-----+ 2 +-----+ \|I -
1
---R \|I + 1 log(2\|- I + 1 \|I + 1 - I + 2) + 4\|I - 1 log(-
-----------)
---R
+-------+
---R 2\|- I
+ 1
---R +
---R 2 +-----+
---R - log(I )\|I + 1
---R /
---R 4
---R ,
---R - infinity,
---R +-----+ +-------+
---R +-----+ \|I - 1 +-------+ \|- I + 1
+-------+
---R 2\|I - 1 log(- -----------) + 2\|- I - 1 atan(----------) - %pi\|- I - 1
---R +-------+ +-------+
---R 2\|- I + 1 \|- I - 1
---R
-------------------------------------------------------------------------]
---R 2
---R Type: Union(f2: List OrderedCompletion Expression
Integer,...)
---E 126
-
---S 127 of 267
-in1867a:=integrate(1/(z^2-1)*(1-(I*z)^(1/2))^(1/2), z= 0..1,"noPole")
---R
---R
---R (125) 0
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 127
+--E 99
---S 128 of 267
-in1869a:=integrate(1/(z^2-1)*(1-1/(I*z)^(1/2))^(1/2), z= 0..1,"noPole")
+--S 100 of 224
+in1866a:=integrate(1/(z^2-1)*(1-%i/z)^(1/2), z= 0..1,"noPole")
--R
--R
---R (126) 0
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 128
+--R (100) - infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 100
---S 129 of 267
-in1870a:=integrate(1/(z^2-1)/(1+(I*z)^(1/2))^(1/2), z= 0..1,"noPole")
+--S 101 of 224
+in1870a:=integrate(1/(z^2-1)/(1+(%i*z)^(1/2))^(1/2), z= 0..1,"noPole")
--R
--R
---R (127) 0
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 129
+--R (101)
+--R -
+--R +-------------------+
+--R | +---------+
+--R | | +-+
+--R | |3\|2 + 4
+--R |4%i |--------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R *
+--R log
+--R +---------+
+--R | +-+ +---------+
+--R +-+ |3\|2 + 4 +-+ | +--+
+--R ((48\|2 - 64) |--------- - 4%i\|2 )\|\|%i + 1
+--R | +-+
+--R \| 16\|2
+--R *
+--R +-------------------+
+--R | +---------+
+--R | | +-+
+--R | |3\|2 + 4
+--R |4%i |--------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R +
+--R +---------+
+--R | +-+
+--R +-+ |3\|2 + 4 +--+ +-+
+--R (- 16%i\|2 + 16%i) |--------- + (4\|%i + 8)\|2 - 4
+--R | +-+
+--R \| 16\|2
+--R /
+--R +-+
+--R \|2
+--R +
+--R +-------------------+
+--R | +---------+
+--R | | +-+
+--R | |3\|2 + 4
+--R |4%i |--------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R *
+--R log
+--R +-------------------+
+--R +---------+ | +---------+
+--R | +-+ | | +-+
+--R +-+ |3\|2 + 4 +-+ | |3\|2 + 4
+--R ((48\|2 - 64) |--------- - 4%i\|2 ) |4%i |--------- + 1
+--R | +-+ | | +-+
+--R \| 16\|2 \| \| 16\|2
+--R +
+--R +---------+
+--R | +-+
+--R +-+ |3\|2 + 4 +-+
+--R (- 16%i\|2 + 16%i) |--------- + 8\|2 - 4
+--R | +-+
+--R \| 16\|2
+--R /
+--R +-+
+--R \|2
+--R +
+--R -
+--R +-------------------+
+--R | +-----------+
+--R | | +-+
+--R | |- 3\|2 + 4
+--R |4 |----------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R *
+--R log
+--R +-----------+
+--R | +-+ +---------+
+--R +-+ |- 3\|2 + 4 +-+ | +--+
+--R ((48%i\|2 + 64%i) |----------- + 4%i\|2 )\|\|%i + 1
+--R | +-+
+--R \| 16\|2
+--R *
+--R +-------------------+
+--R | +-----------+
+--R | | +-+
+--R | |- 3\|2 + 4
+--R |4 |----------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R +
+--R +-----------+
+--R | +-+
+--R +-+ |- 3\|2 + 4 +--+ +-+
+--R (- 16\|2 - 16) |----------- + (4\|%i + 8)\|2 + 4
+--R | +-+
+--R \| 16\|2
+--R /
+--R +-+
+--R \|2
+--R +
+--R +-------------------+
+--R | +-----------+
+--R | | +-+
+--R | |- 3\|2 + 4
+--R |4 |----------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R *
+--R log
+--R +-----------+
+--R | +-+
+--R +-+ |- 3\|2 + 4 +-+
+--R ((48%i\|2 + 64%i) |----------- + 4%i\|2 )
+--R | +-+
+--R \| 16\|2
+--R *
+--R +-------------------+
+--R | +-----------+
+--R | | +-+
+--R | |- 3\|2 + 4
+--R |4 |----------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R +
+--R +-----------+
+--R | +-+
+--R +-+ |- 3\|2 + 4 +-+
+--R (- 16\|2 - 16) |----------- + 8\|2 + 4
+--R | +-+
+--R \| 16\|2
+--R /
+--R +-+
+--R \|2
+--R +
+--R +---------------------+
+--R | +-----------+
+--R | | +-+
+--R | |- 3\|2 + 4
+--R |- 4 |----------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R *
+--R log
+--R +-----------+
+--R | +-+ +---------+
+--R +-+ |- 3\|2 + 4 +-+ | +--+
+--R ((48%i\|2 + 64%i) |----------- - 4%i\|2 )\|\|%i + 1
+--R | +-+
+--R \| 16\|2
+--R *
+--R +---------------------+
+--R | +-----------+
+--R | | +-+
+--R | |- 3\|2 + 4
+--R |- 4 |----------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R +
+--R +-----------+
+--R | +-+
+--R +-+ |- 3\|2 + 4 +--+ +-+
+--R (16\|2 + 16) |----------- + (4\|%i + 8)\|2 + 4
+--R | +-+
+--R \| 16\|2
+--R /
+--R +-+
+--R \|2
+--R +
+--R -
+--R +---------------------+
+--R | +-----------+
+--R | | +-+
+--R | |- 3\|2 + 4
+--R |- 4 |----------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R *
+--R log
+--R +-----------+
+--R | +-+
+--R +-+ |- 3\|2 + 4 +-+
+--R ((48%i\|2 + 64%i) |----------- - 4%i\|2 )
+--R | +-+
+--R \| 16\|2
+--R *
+--R +---------------------+
+--R | +-----------+
+--R | | +-+
+--R | |- 3\|2 + 4
+--R |- 4 |----------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R +
+--R +-----------+
+--R | +-+
+--R +-+ |- 3\|2 + 4 +-+
+--R (16\|2 + 16) |----------- + 8\|2 + 4
+--R | +-+
+--R \| 16\|2
+--R /
+--R +-+
+--R \|2
+--R +
+--R +---------------------+
+--R | +---------+
+--R | | +-+
+--R | |3\|2 + 4
+--R |- 4%i |--------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R *
+--R log
+--R +---------+
+--R | +-+ +---------+
+--R +-+ |3\|2 + 4 +-+ | +--+
+--R ((48\|2 - 64) |--------- + 4%i\|2 )\|\|%i + 1
+--R | +-+
+--R \| 16\|2
+--R *
+--R +---------------------+
+--R | +---------+
+--R | | +-+
+--R | |3\|2 + 4
+--R |- 4%i |--------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R +
+--R +---------+
+--R | +-+
+--R +-+ |3\|2 + 4 +--+ +-+
+--R (16%i\|2 - 16%i) |--------- + (4\|%i + 8)\|2 - 4
+--R | +-+
+--R \| 16\|2
+--R /
+--R +-+
+--R \|2
+--R +
+--R -
+--R +---------------------+
+--R | +---------+
+--R | | +-+
+--R | |3\|2 + 4
+--R |- 4%i |--------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R *
+--R log
+--R
+---------------------+
+--R +---------+ | +---------+
+--R | +-+ | | +-+
+--R +-+ |3\|2 + 4 +-+ | |3\|2 + 4
+--R ((48\|2 - 64) |--------- + 4%i\|2 ) |- 4%i |---------
+ 1
+--R | +-+ | | +-+
+--R \| 16\|2 \| \| 16\|2
+--R +
+--R +---------+
+--R | +-+
+--R +-+ |3\|2 + 4 +-+
+--R (16%i\|2 - 16%i) |--------- + 8\|2 - 4
+--R | +-+
+--R \| 16\|2
+--R /
+--R +-+
+--R \|2
+--R +
+--R +---------------------+
+--R | +---------+
+--R | | +-+
+--R | |3\|2 + 4
+--R |- 4%i |--------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R *
+--R log
+--R
+---------------------+
+--R +---------+ | +---------+
+--R | +-+ | | +-+
+--R +-+ |3\|2 + 4 +-+ | |3\|2 + 4
+--R ((- 48\|2 + 64) |--------- - 4%i\|2 ) |- 4%i |---------
+ 1
+--R | +-+ | | +-+
+--R \| 16\|2 \| \| 16\|2
+--R +
+--R +---------+
+--R | +-+
+--R +-+ |3\|2 + 4 +-+
+--R (16%i\|2 - 16%i) |--------- + 8\|2 - 4
+--R | +-+
+--R \| 16\|2
+--R /
+--R +-+
+--R \|2
+--R +
+--R -
+--R +---------------------+
+--R | +---------+
+--R | | +-+
+--R | |3\|2 + 4
+--R |- 4%i |--------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R *
+--R log
+--R +---------+
+--R | +-+ +---------+
+--R +-+ |3\|2 + 4 +-+ | +--+
+--R ((- 48\|2 + 64) |--------- - 4%i\|2 )\|\|%i + 1
+--R | +-+
+--R \| 16\|2
+--R *
+--R +---------------------+
+--R | +---------+
+--R | | +-+
+--R | |3\|2 + 4
+--R |- 4%i |--------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R +
+--R +---------+
+--R | +-+
+--R +-+ |3\|2 + 4 +--+ +-+
+--R (16%i\|2 - 16%i) |--------- + (4\|%i + 8)\|2 - 4
+--R | +-+
+--R \| 16\|2
+--R /
+--R +-+
+--R \|2
+--R +
+--R +---------------------+
+--R | +-----------+
+--R | | +-+
+--R | |- 3\|2 + 4
+--R |- 4 |----------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R *
+--R log
+--R +-----------+
+--R | +-+
+--R +-+ |- 3\|2 + 4 +-+
+--R ((- 48%i\|2 - 64%i) |----------- + 4%i\|2 )
+--R | +-+
+--R \| 16\|2
+--R *
+--R +---------------------+
+--R | +-----------+
+--R | | +-+
+--R | |- 3\|2 + 4
+--R |- 4 |----------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R +
+--R +-----------+
+--R | +-+
+--R +-+ |- 3\|2 + 4 +-+
+--R (16\|2 + 16) |----------- + 8\|2 + 4
+--R | +-+
+--R \| 16\|2
+--R /
+--R +-+
+--R \|2
+--R +
+--R -
+--R +---------------------+
+--R | +-----------+
+--R | | +-+
+--R | |- 3\|2 + 4
+--R |- 4 |----------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R *
+--R log
+--R +-----------+
+--R | +-+
+---------+
+--R +-+ |- 3\|2 + 4 +-+ | +--+
+--R ((- 48%i\|2 - 64%i) |----------- + 4%i\|2 )\|\|%i +
1
+--R | +-+
+--R \| 16\|2
+--R *
+--R +---------------------+
+--R | +-----------+
+--R | | +-+
+--R | |- 3\|2 + 4
+--R |- 4 |----------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R +
+--R +-----------+
+--R | +-+
+--R +-+ |- 3\|2 + 4 +--+ +-+
+--R (16\|2 + 16) |----------- + (4\|%i + 8)\|2 + 4
+--R | +-+
+--R \| 16\|2
+--R /
+--R +-+
+--R \|2
+--R +
+--R -
+--R +-------------------+
+--R | +-----------+
+--R | | +-+
+--R | |- 3\|2 + 4
+--R |4 |----------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R *
+--R log
+--R +-----------+
+--R | +-+
+--R +-+ |- 3\|2 + 4 +-+
+--R ((- 48%i\|2 - 64%i) |----------- - 4%i\|2 )
+--R | +-+
+--R \| 16\|2
+--R *
+--R +-------------------+
+--R | +-----------+
+--R | | +-+
+--R | |- 3\|2 + 4
+--R |4 |----------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R +
+--R +-----------+
+--R | +-+
+--R +-+ |- 3\|2 + 4 +-+
+--R (- 16\|2 - 16) |----------- + 8\|2 + 4
+--R | +-+
+--R \| 16\|2
+--R /
+--R +-+
+--R \|2
+--R +
+--R +-------------------+
+--R | +-----------+
+--R | | +-+
+--R | |- 3\|2 + 4
+--R |4 |----------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R *
+--R log
+--R +-----------+
+--R | +-+ +---------+
+--R +-+ |- 3\|2 + 4 +-+ | +--+
+--R ((- 48%i\|2 - 64%i) |----------- - 4%i\|2 )\|\|%i + 1
+--R | +-+
+--R \| 16\|2
+--R *
+--R +-------------------+
+--R | +-----------+
+--R | | +-+
+--R | |- 3\|2 + 4
+--R |4 |----------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R +
+--R +-----------+
+--R | +-+
+--R +-+ |- 3\|2 + 4 +--+ +-+
+--R (- 16\|2 - 16) |----------- + (4\|%i + 8)\|2 + 4
+--R | +-+
+--R \| 16\|2
+--R /
+--R +-+
+--R \|2
+--R +
+--R -
+--R +-------------------+
+--R | +---------+
+--R | | +-+
+--R | |3\|2 + 4
+--R |4%i |--------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R *
+--R log
+--R
+-------------------+
+--R +---------+ | +---------+
+--R | +-+ | | +-+
+--R +-+ |3\|2 + 4 +-+ | |3\|2 + 4
+--R ((- 48\|2 + 64) |--------- + 4%i\|2 ) |4%i |---------
+ 1
+--R | +-+ | | +-+
+--R \| 16\|2 \| \| 16\|2
+--R +
+--R +---------+
+--R | +-+
+--R +-+ |3\|2 + 4 +-+
+--R (- 16%i\|2 + 16%i) |--------- + 8\|2 - 4
+--R | +-+
+--R \| 16\|2
+--R /
+--R +-+
+--R \|2
+--R +
+--R +-------------------+
+--R | +---------+
+--R | | +-+
+--R | |3\|2 + 4
+--R |4%i |--------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R *
+--R log
+--R +---------+
+--R | +-+ +---------+
+--R +-+ |3\|2 + 4 +-+ | +--+
+--R ((- 48\|2 + 64) |--------- + 4%i\|2 )\|\|%i + 1
+--R | +-+
+--R \| 16\|2
+--R *
+--R +-------------------+
+--R | +---------+
+--R | | +-+
+--R | |3\|2 + 4
+--R |4%i |--------- + 1
+--R | | +-+
+--R \| \| 16\|2
+--R +
+--R +---------+
+--R | +-+
+--R +-+ |3\|2 + 4 +--+ +-+
+--R (- 16%i\|2 + 16%i) |--------- + (4\|%i + 8)\|2 - 4
+--R | +-+
+--R \| 16\|2
+--R /
+--R +-+
+--R \|2
+--R /
+--R +-+
+--R 4\|2
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 101
--S 130
-in1872a:=integrate(1/(z^2-1)/(I/(z+I))^(1/2), z= 0..1,"noPole")
+--S 102 of 224
+in1872a:=integrate(1/(z^2-1)/(%i/(z+%i))^(1/2), z= 0..1,"noPole")
--R
--R
---R (128)
---R [ + infinity, + infinity,
---R
---R +-----+ +-----+ +-----+
---R |I - 1 2 |I - 1 | I 2
---R |----- log((2I + 2I) |----- |----- + 2I - 1)
---R \| I \| I \|I + 1
---R +
---R +-----+ +-----+
---R |I - 1 2 |I - 1 2
---R - |----- log((8I - 4I) |----- + 8I - 8I + 1)
---R \| I \| I
---R +
---R +-----+
---R | I
---R +-------+ (- I - 1) |----- +-------+
---R |- I - 1 \|I + 1 |- I - 1 I + 1
---R - 4 |------- log(----------------- + 4 |------- atan(-----------)
---R \| I +-------+ \| I +-------+
---R |- I - 1 |- I - 1
---R 2I |------- I |-------
---R \| I \| I
---R /
---R 4
---R ,
---R
---R +-----+ +-----+
---R | I | I
---R +-------+ (- I - 1) |----- +-------+ (I - 1) |-----
---R |- I - 1 \|I + 1 |- I + 1 \|I + 1
---R - |------- log(-----------------) + |------- atan(---------------)
---R \| I +-------+ \| I +-------+
---R |- I - 1 |- I + 1
---R 2I |------- I |-------
---R \| I \| I
---R +
---R +-------+ +-------+
---R |- I - 1 I + 1 |- I + 1 I - 1
---R |------- atan(-----------) - |------- atan(-----------)
---R \| I +-------+ \| I +-------+
---R |- I - 1 |- I + 1
---R I |------- I |-------
---R \| I \| I
---R ]
---R Type: Union(f2: List OrderedCompletion Expression
Integer,...)
---E 130
+--R (102)
+--R +------+
+--R +------+ | %i +------+
+--R \|1 + %i log((2 + 2%i) |------ \|1 + %i + 2%i)
+--R \|1 + %i
+--R +
+--R +------+ +------+
+--R - \|1 + %i log((2 + 2%i)\|1 + %i + 1 + 3%i)
+--R +
+--R +------+
+--R +------+ | %i +------+
+--R \|1 - %i log((2 - 2%i) |------ \|1 - %i - 2 + 2%i)
+--R \|1 + %i
+--R +
+--R +------+ +------+
+--R - \|1 - %i log((2 - 2%i)\|1 - %i - 1 + 3%i)
+--R +
+--R +------+ +------+
+--R \|1 - %i log((- 2 + 2%i)\|1 - %i - 1 + 3%i)
+--R +
+--R +------+
+--R +------+ | %i +------+
+--R - \|1 - %i log((- 2 + 2%i) |------ \|1 - %i - 2 + 2%i)
+--R \|1 + %i
+--R +
+--R +------+ +------+
+--R \|1 + %i log((- 2 - 2%i)\|1 + %i + 1 + 3%i)
+--R +
+--R +------+
+--R +------+ | %i +------+
+--R - \|1 + %i log((- 2 - 2%i) |------ \|1 + %i + 2%i)
+--R \|1 + %i
+--R /
+--R 4
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 102
---S 131 of 267
+--S 103 of 224
in1933a:=integrate(atan(z)/z/(z*(1+z))^(1/2), z= 0..1,"noPole")
--R
--R
---R (129)
+--R (103)
--R +-+ 4+-+ %pi
--R (\|2 - 1)\|2 cos(---)
--R 8
@@ -3779,71 +3934,69 @@ in1933a:=integrate(atan(z)/z/(z*(1+z))^(1/2), z=
0..1,"noPole")
--R +-+
--R 2\|2 - 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 131
+--E 103
---S 132 of 267
+--S 104 of 224
in1945a:=integrate(acoth((1-z)/(1+z)), z= 0..1,"noPole")
--R
--R
--R 1
---R (130) -
+--R (104) -
--R 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 132
+--E 104
---S 133 of 267
+--S 105 of 224
in1946a:=integrate(acoth((1-z)/(1+z))*z, z= 0..1,"noPole")
--R
--R
--R 1
---R (131) -
+--R (105) -
--R 8
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 133
+--E 105
---S 134 of 267
+--S 106 of 224
in1947a:=integrate(acoth((1-z)/(1+z))*z^(1/2), z= 0..1,"noPole")
--R
--R
--R 2
---R (132) -
+--R (106) -
--R 9
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 134
+--E 106
---S 135 of 267
+--S 107 of 224
in1950a:=integrate(acoth((1-z)/(1+z))/(1-z)^(1/2), z= 0..1,"noPole")
--R
--R
--R - log(4) - 2log(2) + 4
---R (133) ----------------------
+--R (107) ----------------------
--R 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 135
+--E 107
---S 136 of 267
-in1952a:=integrate(acoth((1-z)/(1+z))*(I*z)^(1/2), z= 0..1,"noPole")
+--S 108 of 224
+in1952a:=integrate(acoth((1-z)/(1+z))*(%i*z)^(1/2), z= 0..1,"noPole")
--R
--R
---R +-+
---R 2\|I
---R (134) -----
---R 9
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 136
+--R +--+
+--R 2\|%i
+--R (108) ------
+--R 9
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 108
---S 137 of 267
-in1954a:=integrate(acoth((1-z)/(1+z))/(I*z)^(1/2), z= 0..1,"noPole")
+--S 109 of 224
+in1954a:=integrate(acoth((1-z)/(1+z))/(%i*z)^(1/2), z= 0..1,"noPole")
--R
--R
---R +-+
---R 2\|I
---R (135) -----
---R I
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 137
+--R +--+
+--R (109) - 2%i\|%i
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 109
---S 138 of 267
+--S 110 of 224
in202a:=integrate(acsc(z), z= 0..1/2,"noPole")
--R
--R
@@ -3851,16 +4004,16 @@ in202a:=integrate(acsc(z), z= 0..1/2,"noPole")
--R +-+ 2\|2 \|3 +-+
--R - 6\|2 atan(---------) - 3atan(4\|3 ) + 2%pi
--R 5
---R (136) --------------------------------------------
+--R (110) --------------------------------------------
--R 12
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 138
+--E 110
---S 139 of 267
+--S 111 of 224
in206a:=integrate(sqrt(1-1/z), z= %pi..2*%pi,"noPole")
--R
--R
---R (137)
+--R (111)
--R +--------+ +-------+
--R |2%pi - 1 |%pi - 1
--R - 2log( |-------- + 1) + 2log( |------- + 1)
@@ -3880,24 +4033,24 @@ in206a:=integrate(sqrt(1-1/z), z= %pi..2*%pi,"noPole")
--R /
--R 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 139
+--E 111
---S 140 of 267
+--S 112 of 224
in211:=integrate(acos(sin(2*z))*cos(z), z= 0..4*%pi/3)
--R
--R
--R +-+
--R 13%pi\|3 + 36
---R (138) --------------
+--R (112) --------------
--R 12
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 140
+--E 112
---S 141 of 267
+--S 113 of 224
in213a:=integrate(log(abs(1+1/(-z)^(1/3))), z= 0..1,"noPole")
--R
--R
---R (139)
+--R (113)
--R 3+---+2 3+---+
--R 3+---+2 3+---+ \|- 1 + 2\|- 1 + 1 3+---+2
3+---+
--R - log(\|- 1 + 2\|- 1 + 1) + log(---------------------) - \|- 1 +
2\|- 1
@@ -3906,149 +4059,100 @@ in213a:=integrate(log(abs(1+1/(-z)^(1/3))), z=
0..1,"noPole")
--R
-----------------------------------------------------------------------------
--R 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 141
+--E 113
---S 142 of 267
+--S 114 of 224
in216a:=integrate(1/(1/z-1)^(1/3), z= 0..1,"noPole")
--R
--R
--R 2%pi
---R (140) -----
+--R (114) -----
--R +-+
--R 3\|3
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 142
+--E 114
---S 143 of 267
+--S 115 of 224
in2023a:=integrate((1-z)/(-1+z^(1/2)), z= 1..2,"noPole")
--R
--R
--R +-+
--R - 4\|2 - 1
---R (141) -----------
+--R (115) -----------
--R 3
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 143
+--E 115
---S 144 of 267
+--S 116 of 224
in2024a:=integrate(log(1-1/z)+csc(z-1), z= 0..1,"noPole")
--R
--R
---R (142) - infinity
+--R (116) - infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 144
+--E 116
---S 145 of 267
+--S 117 of 224
in2032a:=integrate(acoth(z)/z^(1/2), z= 0..1,"noPole")
--R
--R
--R - 2log(2) + %pi
---R (143) ---------------
+--R (117) ---------------
--R 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 145
+--E 117
---S 146 of 267
+--S 118 of 224
in2040a:=integrate(log(1-1/z^4)+cot(z), z= -1..1,"noPole")
--R
--R
---R (144) log(16) + log(4) + %pi
+--R (118) log(16) + log(4) + %pi
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 146
+--E 118
---S 147 of 267
+--S 119 of 224
in2050a:=integrate(-csc(z-1)-1/z^(1/3), z= -1..1,"noPole")
--R
--R
---R (145) + infinity
+--R (119) + infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 147
+--E 119
---S 148 of 267
-in2051a:=integrate((z^2+I*z-1)^(1/2)*z, z= -1..1,"noPole")
+--S 120 of 224
+in2051a:=integrate((z^2+%i*z-1)^(1/2)*z, z= -1..1,"noPole")
--R
--R
---R (146)
---R 7 5 3 +---+ 8 7
6
---R (108I - 1776I - 7104I + 6912I)\|- I - 18I + 228I + 936I
---R +
---R 5 4 3 2
---R - 1104I + 2208I - 7488I - 7296I + 2304I
---R *
---R +-+
---R \|I
---R +
---R 8 7 6 5 4 3 2
---R - 18I - 228I + 936I + 1104I + 2208I + 7488I - 7296I
---R +
---R - 2304I
---R *
---R +---+
---R \|- I
+--R (120)
+--R +----+ +--+ +----+
+--R (12132%i\|- %i + 8550 + 8460%i)\|%i + (8550 - 8460%i)\|- %i
--R +
---R 9 7 3
---R 3I - 744I + 11904I - 768I
+--R - 11925%i
--R *
---R +---+ 2
---R log((- 4I + 8)\|- I + I - 8I + 4)
+--R +----+
+--R log((8 - 4%i)\|- %i + 3 - 8%i)
--R +
---R 7 5 3 +---+ 8 7
6
---R (- 108I + 1776I + 7104I - 6912I)\|- I + 18I - 228I -
936I
---R +
---R 5 4 3 2
---R 1104I - 2208I + 7488I + 7296I - 2304I
---R *
---R +-+
---R \|I
+--R +----+ +--+
+----+
+--R (- 12132%i\|- %i - 8550 - 8460%i)\|%i + (- 8550 + 8460%i)\|- %i
--R +
---R 8 7 6 5 4 3 2
---R (18I + 228I - 936I - 1104I - 2208I - 7488I + 7296I +
2304I)
---R *
---R +---+
---R \|- I
---R +
---R 9 7 3
---R - 3I + 744I - 11904I + 768I
+--R 11925%i
--R *
---R +-+ 2
---R log((- 4I - 8)\|I + I + 8I + 4)
+--R +--+
+--R log((- 8 - 4%i)\|%i + 3 + 8%i)
--R +
---R 6 4 2 +---+ 8 7 6
5
---R (1728I - 10752I - 5120I )\|- I - 12I - 424I + 2736I + 6816I
---R +
---R 4 3 2
---R - 6208I + 1152I - 3840I - 512I
---R *
---R +-+
---R \|I
---R +
---R 8 7 6 5 4 3 2
+---+
---R (12I - 424I - 2736I + 6816I + 6208I + 1152I + 3840I -
512I)\|- I
---R +
---R 8 6 4 2
---R 144I - 6848I + 3840I + 3072I
+--R +----+ +--+ +----+
+--R (- 7360\|- %i - 5116 + 5576%i)\|%i + (5116 + 5576%i)\|- %i + 7760
--R /
---R 4 2 +---+ 5 4 3
2
---R (3456I - 70656I + 55296)\|- I - 576I + 7296I + 32256I -
64512I
---R +
---R - 58368I + 18432
---R *
---R +-+
---R \|I
---R +
---R 5 4 3 2 +---+ 6
---R (- 576I - 7296I + 32256I + 64512I - 58368I - 18432)\|- I + 96I
+--R +----+ +--+ +----+
+--R (129408\|- %i + 90240 - 91200%i)\|%i + (- 90240 - 91200%i)\|- %i
--R +
---R 4 2
---R - 24192I + 96768I - 6144
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 148
+--R - 127200
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 120
---S 149 of 267
+--S 121 of 224
in2053a:=integrate(atan(2*z-1), z= 0..infinity,"noPole")
--R
--R
---R (147)
+--R (121)
--R 4 3 2
--R - log(4infinity - 8infinity + 8infinity - 4infinity + 1)
--R +
@@ -4059,117 +4163,84 @@ in2053a:=integrate(atan(2*z-1), z=
0..infinity,"noPole")
--R /
--R 8
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 149
+--E 121
---S 150 of 267
+--S 122 of 224
in2054:=integrate(atan(1/z^(1/2))+1, z= -1..1)
+--R
--R
---R 4 3 2
---R - log(4infinity - 8infinity + 8infinity - 4infinity + 1)
---R +
---R 2infinity - 1
---R (- 4infinity + 2)atan(----------------------) - %pi
---R 2
---R 2infinity - 2infinity
---R /
---R 8
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---R NOTE: 150 USED TO WORK
---E 150
+--R (122) potentialPole
+--R Type: Union(pole:
potentialPole,...)
+--E 122
---S 151 of 267
+--S 123 of 224
in2056a:=integrate(z^(1/2)-acoth(1-z), z= 0..1,"noPole")
--R
--R
--R - 3log(4) + 4
---R (149) -------------
+--R (123) -------------
--R 6
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 151
+--E 123
---S 152 of 267
-in2058a:=integrate((z^2+I*z-3)^(1/2)+z, z= -1..1,"noPole")
+--S 124 of 224
+in2058a:=integrate((z^2+%i*z-3)^(1/2)+z, z= -1..1,"noPole")
--R
--R
---R (150)
---R 4 2 +-------+ 5 4 3 2
---R (- 16I - 128I + 768)\|- I - 2 + 4I - 24I - 32I - 320I
---R +
---R - 960I - 384
---R *
---R +-----+
---R \|I - 2
---R +
---R 5 4 3 2 +-------+ 6 4
---R (4I + 24I - 32I + 320I - 960I + 384)\|- I - 2 - I + 60I
+--R (124)
+--R +--------+ +--------+
+--R (- 880\|- 2 - %i + 88 + 924%i)\|- 2 + %i
--R +
---R 2
---R 848I - 192
+--R +--------+
+--R (- 88 + 924%i)\|- 2 - %i + 979
--R *
---R +-------+ 2
---R log((- 4I + 8)\|- I - 2 + I - 8I - 4)
+--R +--------+
+--R log((8 - 4%i)\|- 2 - %i - 5 - 8%i)
--R +
---R 4 2 +-------+ 5 4 3 2
---R (16I + 128I - 768)\|- I - 2 - 4I + 24I + 32I + 320I +
960I
---R +
---R 384
---R *
---R +-----+
---R \|I - 2
---R +
---R 5 4 3 2 +-------+ 6 4
---R (- 4I - 24I + 32I - 320I + 960I - 384)\|- I - 2 + I - 60I
+--R +--------+ +--------+
+--------+
+--R (880\|- 2 - %i - 88 - 924%i)\|- 2 + %i + (88 - 924%i)\|- 2 - %i
--R +
---R 2
---R - 848I + 192
+--R - 979
--R *
---R +-----+ 2
---R log((- 4I - 8)\|I - 2 + I + 8I - 4)
+--R +--------+
+--R log((- 8 - 4%i)\|- 2 + %i - 5 + 8%i)
--R +
---R 3 +-------+ 5 4 3 2
---R (- 256I + 1024I)\|- I - 2 + 4I + 72I - 288I - 1088I + 64I
---R +
---R 1152
---R *
---R +-----+
---R \|I - 2
---R +
---R 5 4 3 2 +-------+ 5 3
---R (- 4I + 72I + 288I - 1088I - 64I + 1152)\|- I - 2 - 32I + 768I
+--R +--------+ +--------+
+--R (- 1280%i\|- 2 - %i - 2312 - 356%i)\|- 2 + %i
--R +
---R - 2560I
+--R +--------+
+--R (- 2312 + 356%i)\|- 2 - %i + 3360%i
--R /
---R 2 +-------+ 3 2 +-----+
---R ((256I - 1024)\|- I - 2 - 64I + 384I + 1280I + 512)\|I - 2
+--R +--------+ +--------+
+--------+
+--R (1280\|- 2 - %i - 128 - 1344%i)\|- 2 + %i + (128 - 1344%i)\|- 2 -
%i
--R +
---R 3 2 +-------+ 4 2
---R (- 64I - 384I + 1280I - 512)\|- I - 2 + 16I - 1152I + 256
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 152
+--R - 1424
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 124
---S 153 of 267
-in2068a:=integrate(1/(I*z)^(1/2)-csch(z), z= 0..1,"noPole")
+--S 125 of 224
+in2068a:=integrate(1/(%i*z)^(1/2)-csch(z), z= 0..1,"noPole")
--R
--R
---R (151) - infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 153
+--R (125) - infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 125
---S 154 of 267
+--S 126 of 224
in2071a:=integrate(1/(3+z)^3*acoth(z), z= -1..1,"noPole")
--R
--R
--R - 3log(16) + 3log(4) - 2
---R (152) ------------------------
+--R (126) ------------------------
--R 128
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 154
+--E 126
---S 155 of 267
+--S 127 of 224
in2090a:=integrate(exp(z^(1/3))*(3+z)^9, z= -1..1,"noPole")
--R
--R
---R (153)
+--R (127)
--R 3+---+2
--R 13467752003249079711273325865856\|- 1
--R +
@@ -4184,577 +4255,153 @@ in2090a:=integrate(exp(z^(1/3))*(3+z)^9, z=
-1..1,"noPole")
--R +
--R - 9746099248106233432776547720320%e
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 155
+--E 127
---S 156 of 267
+--S 128 of 224
in2094a:=integrate(asinh(z)-acoth(z), z= -1..1,"noPole")
--R
--R
--R +-+ +-+
--R log(2\|2 + 3) + log(- 2\|2 + 3)
---R (154) ---------------------------------
+--R (128) ---------------------------------
--R 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 156
+--E 128
---S 157 of 267
+--S 129 of 224
in2096a:=integrate(log(z)^2, z= %minusInfinity..%plusInfinity,"noPole")
--R
--R
---R (155) + infinity
+--R (129) + infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 157
+--E 129
---S 158 of 267
+--S 130 of 224
in2098a:=integrate(1/z^(1/3)-z^2/(z-1)^2, z= -1..1,"noPole")
--R
--R
---R (156) - infinity
+--R (130) - infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 158
+--E 130
---S 159 of 267
-in2105a:=integrate(-1/(z^2-I*z+2)^(1/2)/z, z= 0..1,"noPole")
+--S 131 of 224
+in2105a:=integrate(-1/(z^2-%i*z+2)^(1/2)/z, z= 0..1,"noPole")
--R
--R
---R (157) - infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 159
+--R (131) - infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 131
---S 160 of 267
+--S 132 of 224
in2106a:=integrate(acos(z)+acoth(1-z), z= 0..1,"noPole")
--R
--R
--R log(4) + 2
---R (158) ----------
+--R (132) ----------
--R 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 160
-
---S 161 of 267
-in2108a:=integrate((1-I/(1+I/z)^2)^(1/2), z= -1..1,"noPole")
---R
---R
---R (159)
---R [
---R +-----------+ +----------+
---R 2 | 2 3 2 | 2
---R (I \|I - 3I + 1 - I + I )\|I + I + 1
---R +
---R +-----------+
---R 3 2 | 2 4 2
---R (- I - I )\|I - 3I + 1 + I - I
---R *
---R log
---R 3 2 +-------+ 4 3 2
---R ((4I - 4I + 2I - 2)\|- I + 1 - 2I + 4I - 6I + 4I)
---R *
---R +----------+
---R | 2
---R \|I + I + 1
---R +
---R 4 3 2 +-------+ 5 4 3 2
---R (- 4I + 2I - 2I + 4I)\|- I + 1 + 2I - 3I + 5I - 4I
---R +
---R 2I - 2
---R /
---R +----------+
---R | 2 2
---R (2I + 2)\|I + I + 1 - 2I - 3I - 2
---R +
---R +-----------+
---R +---+ +-------+ | 2 2 +---+ +-------+
---R (- I\|- I \|- I + 1 \|I - 3I + 1 + (I - I)\|- I \|- I + 1
)
---R *
---R +----------+
---R | 2
---R \|I + I + 1
---R +
---R +-----------+
---R 2 +---+ +-------+ | 2 3 +---+
+-------+
---R (I + I)\|- I \|- I + 1 \|I - 3I + 1 + (- I + I)\|- I \|- I +
1
---R *
---R log
---R
+-----------+
---R 2 +---+ 3 2 | 2
---R ((4I - 10I + 4)\|- I + 2I - 10I + 10I - 2)\|I - 3I +
1
---R +
---R 3 2 +---+ 4 3 2
---R (- 4I + 16I - 16I + 4)\|- I - 2I + 13I - 24I + 13I
- 2
---R /
---R +-----------+
---R 3 2 | 2 4 3 2
---R (2I - 6I + 6I - 2)\|I - 3I + 1 - 2I + 9I - 14I + 9I
- 2
---R +
---R +-----------+
---R +---+ +-------+ | 2 2 +---+ +-------+
---R (I\|- I \|- I + 1 \|I - 3I + 1 + (- I + I)\|- I \|- I + 1
)
---R *
---R +----------+
---R | 2
---R \|I + I + 1
---R +
---R +-----------+
---R 2 +---+ +-------+ | 2 3 +---+
+-------+
---R (- I - I)\|- I \|- I + 1 \|I - 3I + 1 + (I - I)\|- I \|- I +
1
---R *
---R log
---R +----------+
---R 2 +---+ 3 2 | 2
---R ((- 4I - 6I - 4)\|- I + 2I + 2I + 2I + 2)\|I + I + 1
---R +
---R 3 2 +---+ 4 3 2
---R (4I + 8I + 8I + 4)\|- I - 2I - 3I - 4I - 3I - 2
---R /
---R +----------+
---R 3 2 | 2 4 3 2
---R (2I + 6I + 6I + 2)\|I + I + 1 - 2I - 7I - 10I - 7I -
2
---R +
---R +-----------+ +----------+
---R 2 | 2 3 2 | 2
---R (- I \|I - 3I + 1 + I - I )\|I + I + 1
---R +
---R +-----------+
---R 3 2 | 2 4 2
---R (I + I )\|I - 3I + 1 - I + I
---R *
---R log
---R 3 2 +-------+ 4 3 2
---R ((- 4I + 8I - 6I + 2)\|- I + 1 - 2I + 8I - 10I +
4I)
---R *
---R +-----------+
---R | 2
---R \|I - 3I + 1
---R +
---R 4 3 2 +-------+ 5 4 3
2
---R (4I - 14I + 14I - 4I)\|- I + 1 + 2I - 11I + 21I -
20I
---R +
---R 10I - 2
---R /
---R +-----------+
---R | 2 2
---R (2I - 2)\|I - 3I + 1 - 2I + 5I - 2
---R +
---R +-----------+ +----------+
---R +-------+ | 2 +-------+ | 2
---R (- 4\|- I + 1 \|I - 3I + 1 + (6I - 4)\|- I + 1 )\|I + I + 1
---R +
---R +-----------+
---R +-------+ | 2 2 +-------+
---R (2I + 4)\|- I + 1 \|I - 3I + 1 + (- 4I - 4I + 4)\|- I + 1
---R /
---R +-----------+ +----------+
---R +-------+ | 2 +-------+ | 2
---R (2\|- I + 1 \|I - 3I + 1 + (- 2I + 2)\|- I + 1 )\|I + I + 1
---R +
---R +-----------+
---R +-------+ | 2 2 +-------+
---R (- 2I - 2)\|- I + 1 \|I - 3I + 1 + (2I - 2)\|- I + 1
---R ,
---R
---R +-----------+
---R +---+ +-----+ | 2 2 +---+ +-----+
---R (- I\|- I \|I - 1 \|I - 3I + 1 + (I - I)\|- I \|I - 1 )
---R *
---R +----------+
---R | 2
---R \|I + I + 1
---R +
---R +-----------+
---R 2 +---+ +-----+ | 2 3 +---+ +-----+
---R (I + I)\|- I \|I - 1 \|I - 3I + 1 + (- I + I)\|- I \|I - 1
---R *
---R log
---R
+-----------+
---R 2 +---+ 3 2 | 2
---R ((4I - 10I + 4)\|- I + 2I - 10I + 10I - 2)\|I - 3I +
1
---R +
---R 3 2 +---+ 4 3 2
---R (- 4I + 16I - 16I + 4)\|- I - 2I + 13I - 24I + 13I
- 2
---R /
---R +-----------+
---R 3 2 | 2 4 3 2
---R (2I - 6I + 6I - 2)\|I - 3I + 1 - 2I + 9I - 14I + 9I
- 2
---R +
---R +-----------+
---R +---+ +-----+ | 2 2 +---+ +-----+
---R (I\|- I \|I - 1 \|I - 3I + 1 + (- I + I)\|- I \|I - 1 )
---R *
---R +----------+
---R | 2
---R \|I + I + 1
---R +
---R +-----------+
---R 2 +---+ +-----+ | 2 3 +---+ +-----+
---R (- I - I)\|- I \|I - 1 \|I - 3I + 1 + (I - I)\|- I \|I - 1
---R *
---R log
---R +----------+
---R 2 +---+ 3 2 | 2
---R ((- 4I - 6I - 4)\|- I + 2I + 2I + 2I + 2)\|I + I + 1
---R +
---R 3 2 +---+ 4 3 2
---R (4I + 8I + 8I + 4)\|- I - 2I - 3I - 4I - 3I - 2
---R /
---R +----------+
---R 3 2 | 2 4 3 2
---R (2I + 6I + 6I + 2)\|I + I + 1 - 2I - 7I - 10I - 7I -
2
---R +
---R +-----------+ +----------+
---R 2 | 2 3 2 | 2
---R (- 4I \|I - 3I + 1 + 4I - 4I )\|I + I + 1
---R +
---R +-----------+
---R 3 2 | 2 4 2
---R (4I + 4I )\|I - 3I + 1 - 4I + 4I
---R *
---R +----------+
---R +-----+ | 2 +-----+
---R \|I - 1 \|I + I + 1 - I\|I - 1
---R atan(---------------------------------)
---R I - 1
---R +
---R +-----------+ +----------+
---R 2 | 2 3 2 | 2
---R (- 4I \|I - 3I + 1 + 4I - 4I )\|I + I + 1
---R +
---R +-----------+
---R 3 2 | 2 4 2
---R (4I + 4I )\|I - 3I + 1 - 4I + 4I
---R *
---R +-----------+
---R +-----+ | 2 +-----+
---R \|I - 1 \|I - 3I + 1 - I\|I - 1
---R atan(----------------------------------)
---R I - 1
---R +
---R +-----------+ +----------+
---R +-----+ | 2 +-----+ | 2
---R (- 4\|I - 1 \|I - 3I + 1 + (6I - 4)\|I - 1 )\|I + I + 1
---R +
---R +-----------+
---R +-----+ | 2 2 +-----+
---R (2I + 4)\|I - 1 \|I - 3I + 1 + (- 4I - 4I + 4)\|I - 1
---R /
---R +-----------+ +----------+
---R +-----+ | 2 +-----+ | 2
---R (2\|I - 1 \|I - 3I + 1 + (- 2I + 2)\|I - 1 )\|I + I + 1
---R +
---R +-----------+
---R +-----+ | 2 2 +-----+
---R (- 2I - 2)\|I - 1 \|I - 3I + 1 + (2I - 2)\|I - 1
---R ,
---R
---R +-----------+ +----------+
---R 2 | 2 3 2 | 2
---R (I \|I - 3I + 1 - I + I )\|I + I + 1
---R +
---R +-----------+
---R 3 2 | 2 4 2
---R (- I - I )\|I - 3I + 1 + I - I
---R *
---R log
---R 3 2 +-------+ 4 3 2
---R ((4I - 4I + 2I - 2)\|- I + 1 - 2I + 4I - 6I + 4I)
---R *
---R +----------+
---R | 2
---R \|I + I + 1
---R +
---R 4 3 2 +-------+ 5 4 3 2
---R (- 4I + 2I - 2I + 4I)\|- I + 1 + 2I - 3I + 5I - 4I
---R +
---R 2I - 2
---R /
---R +----------+
---R | 2 2
---R (2I + 2)\|I + I + 1 - 2I - 3I - 2
---R +
---R +-----------+ +----------+
---R 2 | 2 3 2 | 2
---R (- I \|I - 3I + 1 + I - I )\|I + I + 1
---R +
---R +-----------+
---R 3 2 | 2 4 2
---R (I + I )\|I - 3I + 1 - I + I
---R *
---R log
---R 3 2 +-------+ 4 3 2
---R ((- 4I + 8I - 6I + 2)\|- I + 1 - 2I + 8I - 10I +
4I)
---R *
---R +-----------+
---R | 2
---R \|I - 3I + 1
---R +
---R 4 3 2 +-------+ 5 4 3
2
---R (4I - 14I + 14I - 4I)\|- I + 1 + 2I - 11I + 21I -
20I
---R +
---R 10I - 2
---R /
---R +-----------+
---R | 2 2
---R (2I - 2)\|I - 3I + 1 - 2I + 5I - 2
---R +
---R +-----------+
---R +-------+ +-+ | 2 2 +-------+ +-+
---R (- 4I\|- I + 1 \|I \|I - 3I + 1 + (4I - 4I)\|- I + 1 \|I )
---R *
---R +----------+
---R | 2
---R \|I + I + 1
---R +
---R +-----------+
---R 2 +-------+ +-+ | 2 3 +-------+
+-+
---R (4I + 4I)\|- I + 1 \|I \|I - 3I + 1 + (- 4I + 4I)\|- I + 1
\|I
---R *
---R +-+
---R \|I
---R atan(----------------------)
---R +-----------+
---R | 2
---R \|I - 3I + 1 - I + 1
---R +
---R +-----------+
---R +-------+ +-+ | 2 2 +-------+ +-+
---R (- 4I\|- I + 1 \|I \|I - 3I + 1 + (4I - 4I)\|- I + 1 \|I )
---R *
---R +----------+
---R | 2
---R \|I + I + 1
---R +
---R +-----------+
---R 2 +-------+ +-+ | 2 3 +-------+
+-+
---R (4I + 4I)\|- I + 1 \|I \|I - 3I + 1 + (- 4I + 4I)\|- I + 1
\|I
---R *
---R +-+
---R \|I
---R atan(---------------------)
---R +----------+
---R | 2
---R \|I + I + 1 - I - 1
---R +
---R +-----------+ +----------+
---R +-------+ | 2 +-------+ | 2
---R (- 4\|- I + 1 \|I - 3I + 1 + (6I - 4)\|- I + 1 )\|I + I + 1
---R +
---R +-----------+
---R +-------+ | 2 2 +-------+
---R (2I + 4)\|- I + 1 \|I - 3I + 1 + (- 4I - 4I + 4)\|- I + 1
---R /
---R +-----------+ +----------+
---R +-------+ | 2 +-------+ | 2
---R (2\|- I + 1 \|I - 3I + 1 + (- 2I + 2)\|- I + 1 )\|I + I + 1
---R +
---R +-----------+
---R +-------+ | 2 2 +-------+
---R (- 2I - 2)\|- I + 1 \|I - 3I + 1 + (2I - 2)\|- I + 1
---R ,
---R
---R +-----------+ +----------+
---R 2 | 2 3 2 | 2
---R (- 2I \|I - 3I + 1 + 2I - 2I )\|I + I + 1
---R +
---R +-----------+
---R 3 2 | 2 4 2
---R (2I + 2I )\|I - 3I + 1 - 2I + 2I
---R *
---R +----------+
---R +-----+ | 2 +-----+
---R \|I - 1 \|I + I + 1 - I\|I - 1
---R atan(---------------------------------)
---R I - 1
---R +
---R +-----------+ +----------+
---R 2 | 2 3 2 | 2
---R (- 2I \|I - 3I + 1 + 2I - 2I )\|I + I + 1
---R +
---R +-----------+
---R 3 2 | 2 4 2
---R (2I + 2I )\|I - 3I + 1 - 2I + 2I
---R *
---R +-----------+
---R +-----+ | 2 +-----+
---R \|I - 1 \|I - 3I + 1 - I\|I - 1
---R atan(----------------------------------)
---R I - 1
---R +
---R +-----------+
---R +-----+ +-+ | 2 2 +-----+ +-+
---R (- 2I\|I - 1 \|I \|I - 3I + 1 + (2I - 2I)\|I - 1 \|I )
---R *
---R +----------+
---R | 2
---R \|I + I + 1
---R +
---R +-----------+
---R 2 +-----+ +-+ | 2 3 +-----+ +-+
---R (2I + 2I)\|I - 1 \|I \|I - 3I + 1 + (- 2I + 2I)\|I - 1 \|I
---R *
---R +-+
---R \|I
---R atan(----------------------)
---R +-----------+
---R | 2
---R \|I - 3I + 1 - I + 1
---R +
---R +-----------+
---R +-----+ +-+ | 2 2 +-----+ +-+
---R (- 2I\|I - 1 \|I \|I - 3I + 1 + (2I - 2I)\|I - 1 \|I )
---R *
---R +----------+
---R | 2
---R \|I + I + 1
---R +
---R +-----------+
---R 2 +-----+ +-+ | 2 3 +-----+ +-+
---R (2I + 2I)\|I - 1 \|I \|I - 3I + 1 + (- 2I + 2I)\|I - 1 \|I
---R *
---R +-+
---R \|I
---R atan(---------------------)
---R +----------+
---R | 2
---R \|I + I + 1 - I - 1
---R +
---R +-----------+ +----------+
---R +-----+ | 2 +-----+ | 2
---R (- 2\|I - 1 \|I - 3I + 1 + (3I - 2)\|I - 1 )\|I + I + 1
---R +
---R +-----------+
---R +-----+ | 2 2 +-----+
---R (I + 2)\|I - 1 \|I - 3I + 1 + (- 2I - 2I + 2)\|I - 1
---R /
---R +-----------+ +----------+
---R +-----+ | 2 +-----+ | 2
---R (\|I - 1 \|I - 3I + 1 + (- I + 1)\|I - 1 )\|I + I + 1
---R +
---R +-----------+
---R +-----+ | 2 2 +-----+
---R (- I - 1)\|I - 1 \|I - 3I + 1 + (I - 1)\|I - 1
---R ]
---R Type: Union(f2: List OrderedCompletion Expression
Integer,...)
---E 161
-
---S 162 of 267
-in2109a:=integrate((1+I*z)^(1/2)+cot(z-1), z= 0..1,"noPole")
---R
---R
---R (160) - infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 162
+--E 132
---S 163 of 267
+--S 133 of 224
in2112a:=integrate(-cot(z-1)+log(1-1/z^4), z= -1..1,"noPole")
--R
--R
---R (161) + infinity
+--R (133) + infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 163
+--E 133
---S 164 of 267
+--S 134 of 224
in2115a:=integrate(-z/(z-1)+log(1-z^(1/3)), z= -1..1,"noPole")
--R
--R
---R (162) + infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 164
-
---S 165 of 267
-in2120a:=integrate(-z+1/(z^2+I*z-3)^(1/2), z= -1..1,"noPole")
---R
---R
---R (163)
---R +-------+ 2
---R log((- 4I + 8)\|- I - 2 + I - 8I - 4)
---R +
---R +-----+ 2
---R - log((- 4I - 8)\|I - 2 + I + 8I - 4)
---R /
---R 2
+--R (134) + infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 165
+--E 134
---S 166 of 267
-in2124a:=integrate(-1/z-1/(I/(z+I))^(1/2), z= -1..0,"noPole")
+--S 135 of 224
+in2120a:=integrate(-z+1/(z^2+%i*z-3)^(1/2), z= -1..1,"noPole")
--R
--R
---R (164) + infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 166
+--R (135)
+--R +--------+ +--------+
+--R log((8 - 4%i)\|- 2 - %i - 5 - 8%i) - log((- 8 - 4%i)\|- 2 + %i - 5 +
8%i)
+--R
---------------------------------------------------------------------------
+--R 2
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 135
---S 167 of 267
-in25:=integrate(cos(z), z= I..a)
+--S 136 of 224
+in25:=integrate(cos(z), z= %i..a)
--R
--R
---R (165) sin(a) - sin(I)
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 167
+--R (136) sin(a) - sin(%i)
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 136
---S 168 of 267
+--S 137 of 224
in25a:=integrate(cos(z), z= %i..a)
--R
--R
---R (166) sin(a) - sin(%i)
+--R (137) sin(a) - sin(%i)
--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
---E 168
+--E 137
---S 169 of 267
-in25b:=integrate(exp(I*z), z= I..I*infinity)
+--S 138 of 224
+in25b:=integrate(exp(%i*z), z= %i..%i*infinity)
--R
--R
---R 2 2
---R I infinity I
---R %e - %e
---R (167) -------------------
---R I
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 169
+--R - infinity
+--R - %i %e %e + %i
+--R (138) -------------------------
+--R %e
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 138
---S 170 of 267
-in25c:=integrate(exp(%i*z), z= %i..I*infinity)
+--S 139 of 224
+in25c:=integrate(exp(%i*z), z= %i..%i*infinity)
--R
--R
---R %i I infinity
---R - %i %e %e + %i
---R (168) ----------------------------
---R %e
+--R - infinity
+--R - %i %e %e + %i
+--R (139) -------------------------
+--R %e
--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
---E 170
+--E 139
---S 171 of 267
+--S 140 of 224
in28a:=integrate(1/z, z=1..z,"noPole")
--R
--R
--R 2
--R log(z )
---R (169) -------
+--R (140) -------
--R 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 171
+--E 140
---S 172 of 267
+--S 141 of 224
in30:=integrate(sin(3*asin(1/(1+z^2))), z= 0..%plusInfinity)
--R
--R
--R 3%pi
---R (170) ----
+--R (141) ----
--R 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 172
+--E 141
---S 173 of 267
+--S 142 of 224
in32:=integrate(exp(-z), z= 0..%plusInfinity)
--R
--R
---R (171) 1
+--R (142) 1
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 173
+--E 142
---S 174 of 267
+--S 143 of 224
in34a:=integrate(1/(sin(z)-1/2), z= 0..1,"noPole")
--R
--R
---R (172)
+--R (143)
--R log
--R 2 2
--R - 12sin(1) + (42cos(1) + 48)sin(1) - 36cos(1) -
84cos(1)
@@ -4776,315 +4423,202 @@ in34a:=integrate(1/(sin(z)-1/2), z= 0..1,"noPole")
--R +-+
--R \|3
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 174
+--E 143
---S 175 of 267
+--S 144 of 224
in37:=integrate(atan(tan(1/z)), z= 0..1)
--R
--R
---R (173) + infinity
+--R (144) + infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 175
+--E 144
---S 176 of 267
+--S 145 of 224
in40:=integrate(atan(tan(z)), z= 0..%plusInfinity)
--R
--R
---R (174) + infinity
+--R (145) + infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 176
+--E 145
---S 177 of 267
+--S 146 of 224
in2157a:=integrate(acoth(z)-1/(1+z^(1/2)), z= 0..1,"noPole")
--R
--R
--R log(4) + 10log(2) - 8
---R (175) ---------------------
+--R (146) ---------------------
--R 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 177
+--E 146
---S 178 of 267
+--S 147 of 224
in2158a:=integrate(2*acoth(1-(1-z)^(1/2)), z= 0..1,"noPole")
--R
--R
---R (176) 2log(4) - 2
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 178
-
---S 179 of 267
-in2168a:=integrate(-csch(z-1)-(1+I*z)^(1/2), z= 0..1,"noPole")
---R
---R
---R (177) + infinity
+--R (147) 2log(4) - 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 179
+--E 147
---S 180 of 267
-in2179a:=integrate((z^3-I*(1-z^4)^(1/2))^4, z= -1..1,"noPole")
+--S 148 of 224
+in2168a:=integrate(-csch(z-1)-(1+%i*z)^(1/2), z= 0..1,"noPole")
--R
--R
---R 4 2
---R 64064I + 28080I + 6930
---R (178) ------------------------
---R 45045
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 180
+--R (148) + infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 148
---S 181 of 267
-in2185a:=integrate(csch(z)+(z^2-I*z+1)^(1/2), z= 0..1,"noPole")
+--S 149 of 224
+in2185a:=integrate(csch(z)+(z^2-%i*z+1)^(1/2), z= 0..1,"noPole")
--R
--R
---R (179) + infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 181
+--R (149) + infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 149
---S 182 of 267
+--S 150 of 224
in2195a:=integrate(1-acoth(1-(1-z)^(1/2)), z= -1..1,"noPole")
--R
--R
---R (180)
+--R (150)
--R +-+ +-+ +-+ +-+
--R 2log(\|2 ) - log(- 2\|2 + 3) + 3log(- 4\|2 + 6) + 4\|2 - 4log(4) + 8
--R -----------------------------------------------------------------------
--R 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 182
+--E 150
---S 183 of 267
+--S 151 of 224
in2201a:=integrate(acoth(z)+%pi-asec(z-1), z= 0..1,"noPole")
--R
--R
--R +-+
--R - %pi\|2 + log(4) + 2%pi
---R (181) -------------------------
+--R (151) -------------------------
--R 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 183
+--E 151
---S 184 of 267
+--S 152 of 224
in221:=integrate(log(z+sqrt(z^2-1)), z)
--R
--R
--R +------+ +------+ +------+
--R | 2 2 | 2 | 2 2
--R (z\|z - 1 - z )log(\|z - 1 + z) + z\|z - 1 - z + 1
---R (182) ---------------------------------------------------------
+--R (152) ---------------------------------------------------------
--R +------+
--R | 2
--R \|z - 1 - z
--R Type: Union(Expression
Integer,...)
---E 184
+--E 152
---S 185 of 267
+--S 153 of 224
in227a:=integrate(atan(sin(z))+atan(1/(sin(z))), z= 0..1,"noPole")
--R
--R
--R %pi
---R (183) - ---
+--R (153) - ---
--R 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 185
+--E 153
---S 186 of 267
+--S 154 of 224
in237a:=integrate(sin(z)*(1-cos(z)/sqrt(1-sin(z)^2))^2, z= 0..1,"noPole")
--R
--R
---R (184) - 4cos(1) + 4
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 186
-
---S 187 of 267
-in2221:=integrate((z-I)*(-1+1/(z-I)), z= 0..%plusInfinity)
---R
---R
---R (185) - infinity
+--R (154) - 4cos(1) + 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 187
+--E 154
---S 188 of 267
-in2243a:=integrate(-1/sinh(z-1)+1/(I*z)^(1/2), z= 0..1,"noPole")
+--S 155 of 224
+in2221:=integrate((z-%i)*(-1+1/(z-%i)), z= 0..%plusInfinity)
--R
--R
---R (186) + infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 188
+--R (155) - infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 155
---S 189 of 267
-in2247a:=integrate(1/(z^2-I*z+2)^(1/2)+csc(z), z= 0..1,"noPole")
+--S 156 of 224
+in2243a:=integrate(-1/sinh(z-1)+1/(%i*z)^(1/2), z= 0..1,"noPole")
--R
--R
---R (187) + infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 189
+--R (156) + infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 156
---S 190 of 267
+--S 157 of 224
in2254a:=integrate(cosh(z^(1/2))-acoth(1-z), z= 0..1,"noPole")
--R
--R
--R - %e log(4) + 4%e - 4
---R (188) ---------------------
+--R (157) ---------------------
--R 2%e
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 190
+--E 157
---S 191 of 267
-in2270a:=integrate(log(z)*log(1/z)*(I*z)^(1/3), z= -1..1,"noPole")
+--S 158 of 224
+in2270a:=integrate(log(z)*log(1/z)*(%i*z)^(1/3), z= -1..1,"noPole")
--R
--R
---R 3+-+ 3+---+
---R - 27\|I - 27\|- I
---R (189) -------------------
---R 32
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 191
+--R 3+--+ 3+----+
+--R - 27\|%i - 27\|- %i
+--R (158) ---------------------
+--R 32
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 158
---S 192 of 267
+--S 159 of 224
in2274a:=integrate(acoth(1-z)-acosh(1/z), z= -1..1,"noPole")
--R
--R
--R 3log(9) - 4%pi
---R (190) --------------
+--R (159) --------------
--R 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 192
+--E 159
---S 193 of 267
-in2275a:=integrate((z^2+I*z-3)^(1/2)*(3+z^2), z= -1..1,"noPole")
+--S 160 of 224
+in2275a:=integrate((z^2+%i*z-3)^(1/2)*(3+z^2), z= -1..1,"noPole")
--R
--R
---R (191)
---R 10 8 6 4 2
---R - 960I + 49920I + 1320960I + 3563520I - 40550400I
---R +
---R 8847360
---R *
---R +-------+
---R \|- I - 2
---R +
---R 11 10 9 8 7 6
---R 120I - 2640I - 23520I + 10560I - 318720I + 1359360I
---R +
---R 5 4 3 2
---R 3056640I + 9922560I + 36034560I - 2396160I - 40919040I
---R +
---R 15482880
---R *
---R +-----+
---R \|I - 2
+--R (160)
+--R +--------+ +--------+
+--R (- 51691200\|- 2 - %i - 26455440 + 73601880%i)\|- 2 + %i
--R +
---R 11 10 9 8 7 6
---R 120I + 2640I - 23520I - 10560I - 318720I - 1359360I
---R +
---R 5 4 3 2
---R 3056640I - 9922560I + 36034560I + 2396160I - 40919040I
---R +
---R - 15482880
---R *
---R +-------+
---R \|- I - 2
---R +
---R 12 10 8 6 4
2
---R - 15I + 12360I + 67440I - 3283200I - 21131520I + 73451520I
---R +
---R - 27095040
+--R +--------+
+--R (26455440 + 73601880%i)\|- 2 - %i + 118339815
--R *
---R +-------+ 2
---R log((- 4I + 8)\|- I - 2 + I - 8I - 4)
+--R +--------+
+--R log((8 - 4%i)\|- 2 - %i - 5 - 8%i)
--R +
---R 10 8 6 4 2
---R 960I - 49920I - 1320960I - 3563520I + 40550400I
---R +
---R - 8847360
---R *
---R +-------+
---R \|- I - 2
---R +
---R 11 10 9 8 7 6
---R - 120I + 2640I + 23520I - 10560I + 318720I - 1359360I
---R +
---R 5 4 3 2
---R - 3056640I - 9922560I - 36034560I + 2396160I + 40919040I
---R +
---R - 15482880
---R *
---R +-----+
---R \|I - 2
---R +
---R 11 10 9 8 7 6
---R - 120I - 2640I + 23520I + 10560I + 318720I + 1359360I
---R +
---R 5 4 3 2
---R - 3056640I + 9922560I - 36034560I - 2396160I + 40919040I
---R +
---R 15482880
---R *
---R +-------+
---R \|- I - 2
---R +
---R 12 10 8 6 4 2
---R 15I - 12360I - 67440I + 3283200I + 21131520I - 73451520I
+--R +--------+ +--------+
+--R (51691200\|- 2 - %i + 26455440 - 73601880%i)\|- 2 + %i
--R +
---R 27095040
+--R +--------+
+--R (- 26455440 - 73601880%i)\|- 2 - %i - 118339815
--R *
---R +-----+ 2
---R log((- 4I - 8)\|I - 2 + I + 8I - 4)
+--R +--------+
+--R log((- 8 - 4%i)\|- 2 + %i - 5 + 8%i)
--R +
---R 9 5 3 +-------+
11
---R (- 20480I + 17170432I - 48234496I + 57671680I)\|- I - 2 + 60I
---R +
---R 10 9 8 7 6 5
---R 3800I - 39408I - 172896I - 790144I - 6873344I + 13455872I
---R +
---R 4 3 2
---R 53588992I - 16978944I - 85084160I + 9687040I + 21897216
---R *
---R +-----+
---R \|I - 2
+--R +--------+ +--------+
+--R (- 123056128%i\|- 2 - %i - 167267016 - 40872532%i)\|- 2 + %i
--R +
---R 11 10 9 8 7 6
---R - 60I + 3800I + 39408I - 172896I + 790144I - 6873344I
---R +
---R 5 4 3 2
---R - 13455872I + 53588992I + 16978944I - 85084160I - 9687040I
---R +
---R 21897216
---R *
---R +-------+
---R \|- I - 2
---R +
---R 11 9 7 5 3
---R - 960I + 133888I + 3352576I - 44081152I + 129318912I -
59834368I
+--R +--------+
+--R (- 167267016 + 40872532%i)\|- 2 - %i + 236452160%i
--R /
---R 6 4 2 +-------+ 7
---R (49152I - 3735552I + 14942208I - 3145728)\|- I - 2 - 6144I
---R +
---R 6 5 4 3 2
---R 135168I + 1351680I - 3784704I - 15237120I + 1769472I +
14548992I
---R +
---R - 5505024
---R *
---R +-----+
---R \|I - 2
+--R +--------+ +--------+
+--R (21872640\|- 2 - %i + 11194368 - 31143936%i)\|- 2 + %i
--R +
---R 7 6 5 4 3
2
---R - 6144I - 135168I + 1351680I + 3784704I - 15237120I -
1769472I
---R +
---R 14548992I + 5505024
---R *
---R +-------+
---R \|- I - 2
---R +
---R 8 6 4 2
---R 768I - 651264I + 12066816I - 27721728I + 9633792
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 193
+--R +--------+
+--R (- 11194368 - 31143936%i)\|- 2 - %i - 50074368
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 160
---S 194 of 267
+--S 161 of 224
in2276a:=integrate((1-tanh(log(1+z^(1/3))))^5, z= -1..1,"noPole")
--R
--R
---R (192)
+--R (161)
--R 3+---+2 3+---+ 3+---+
--R (- 918750\|- 1 + 1200000\|- 1 + 2100000)atan(\|- 1 + 1)
--R +
@@ -5096,23 +4630,23 @@ in2276a:=integrate((1-tanh(log(1+z^(1/3))))^5, z=
-1..1,"noPole")
--R 3+---+2 3+---+
--R 30625\|- 1 - 40000\|- 1 - 70000
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 194
+--E 161
---S 195 of 267
+--S 162 of 224
in2278a:=integrate(acoth(1-z)+log(abs(z-1)/z), z= 0..1,"noPole")
--R
--R
--R log(4)
---R (193) ------
+--R (162) ------
--R 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 195
+--E 162
---S 196 of 267
+--S 163 of 224
in2279a:=integrate(acoth(1/(z^2-z+1)^(1/2)), z= -1..1,"noPole")
--R
--R
---R (194)
+--R (163)
--R +-+
--R +-+ +-+ +-+ - \|3 - 2
--R 2log(12\|3 + 21) + log(6\|3 + 12) - log(2\|3 + 4) +
log(----------)
@@ -5123,184 +4657,148 @@ in2279a:=integrate(acoth(1/(z^2-z+1)^(1/2)), z=
-1..1,"noPole")
--R /
--R 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 196
+--E 163
---S 197 of 267
-in2307a:=integrate(tan(z)-1/(z^2+I*z-3)^(1/2), z= -1..1,"noPole")
+--S 164 of 224
+in2311a:=integrate(-1/sinh(z-1)+1/(%i*z)^(1/2), z= 0..%pi,"noPole")
--R
--R
---R (195)
---R +-------+ 2
---R - log((- 4I + 8)\|- I - 2 + I - 8I - 4)
+--R (164)
+--R %pi - 1 2 %pi - 1 %pi - 1 2 %pi - 1
+--R log((%e ) + 2%e + 1) - log((%e ) - 2%e +
1)
--R +
---R +-----+ 2
---R log((- 4I - 8)\|I - 2 + I + 8I - 4)
+--R 2 2
+--R +------+ %e + 2%e + 1 %e - 2%e + 1
+--R - 4%i\|%i %pi - log(-------------) + log(-------------)
+--R 2 2
+--R %e %e
--R /
--R 2
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 197
-
---S 198 of 267
-in2311a:=integrate(-1/sinh(z-1)+1/(I*z)^(1/2), z= 0..%pi,"noPole")
---R
---R
---R (196)
---R %pi - 1 2 %pi - 1
---R I log((%e ) + 2%e + 1)
---R +
---R 2
---R %pi - 1 2 %pi - 1 +-----+ %e + 2%e
+ 1
---R - I log((%e ) - 2%e + 1) + 4\|I %pi - I
log(-------------)
---R 2
---R %e
---R +
---R 2
---R %e - 2%e + 1
---R I log(-------------)
---R 2
---R %e
---R /
---R 2I
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 198
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 164
---S 199 of 267
-in2312:=integrate(sin(z)-1/(z^2+I*z-1)^(1/2), z= -1..1)
+--S 165 of 224
+in2312:=integrate(sin(z)-1/(z^2+%i*z-1)^(1/2), z= -1..1)
--R
--R
---R (197) potentialPole
+--R (165) potentialPole
--R Type: Union(pole:
potentialPole,...)
---E 199
+--E 165
---S 200 of 267
-in2312a:=integrate(sin(z)-1/(z^2+I*z-1)^(1/2), z= -1..1,"noPole")
+--S 166 of 224
+in2312a:=integrate(sin(z)-1/(z^2+%i*z-1)^(1/2), z= -1..1,"noPole")
--R
--R
---R (198)
---R +---+ 2 +-+ 2
---R - log((- 4I + 8)\|- I + I - 8I + 4) + log((- 4I - 8)\|I + I + 8I + 4)
---R -------------------------------------------------------------------------
---R 2
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 200
+--R +----+ +--+
+--R - log((8 - 4%i)\|- %i + 3 - 8%i) + log((- 8 - 4%i)\|%i + 3 +
8%i)
+--R (166)
-------------------------------------------------------------------
+--R 2
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 166
---S 201 of 267
+--S 167 of 224
in2324a:=integrate(cosh(z^(1/2)-1)+acoth(1-z), z= 0..1,"noPole")
--R
--R
--R 2
--R %e log(4) + 2%e - 4%e + 2
---R (199) --------------------------
+--R (167) --------------------------
--R 2%e
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 201
+--E 167
---S 202 of 267
-in2330a:=integrate(exp(-z)+1/(z^2+I*z-1)^(1/2), z= -1..1,"noPole")
+--S 168 of 224
+in2330a:=integrate(exp(-z)+1/(z^2+%i*z-1)^(1/2), z= -1..1,"noPole")
--R
--R
---R (200)
---R +---+ 2
---R %e log((- 4I + 8)\|- I + I - 8I + 4)
+--R (168)
+--R +----+ +--+
+--R %e log((8 - 4%i)\|- %i + 3 - 8%i) - %e log((- 8 - 4%i)\|%i + 3 +
8%i)
--R +
---R +-+ 2 2
---R - %e log((- 4I - 8)\|I + I + 8I + 4) + 2%e - 2
+--R 2
+--R 2%e - 2
--R /
--R 2%e
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 202
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 168
---S 203 of 267
+--S 169 of 224
in2332a:=integrate(acoth(z^(1/2))*(1-z^(1/2)), z= 0..1,"noPole")
--R
--R
--R log(16) - log(4) - 10log(2) + 8
---R (201) -------------------------------
+--R (169) -------------------------------
--R 12
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 203
+--E 169
---S 204 of 267
+--S 170 of 224
in2333a:=integrate(acoth(z)+1/(z^2+z+2)^(1/2), z= 0..1,"noPole")
--R
--R
--R +-+
--R log(- 4\|2 + 9) + log(4)
---R (202) -------------------------
+--R (170) -------------------------
--R 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 204
-
---S 205 of 267
-in2340a:=integrate(exp(I*(I*z)^(1/2))+cot(z-1), z= -1..1,"noPole")
---R
---R
---R (203) - infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 205
+--E 170
---S 206 of 267
-in2360a:=integrate(1/(1-I*z^2)^(1/2)-csch(z-1), z= -1..1,"noPole")
+--S 171 of 224
+in2360a:=integrate(1/(1-%i*z^2)^(1/2)-csch(z-1), z= -1..1,"noPole")
--R
--R
---R (204) [ + infinity, + infinity]
---R Type: Union(f2: List OrderedCompletion Expression
Integer,...)
---E 206
+--R (171) [ + infinity, + infinity]
+--R Type: Union(f2: List OrderedCompletion Expression Complex
Integer,...)
+--E 171
---S 207 of 267
-in2367a:=integrate(log(1-z^2)-1/(I/(z-I))^(1/2), z= -1..1,"noPole")
+--S 172 of 224
+in2367a:=integrate(log(1-z^2)-1/(%i/(z-%i))^(1/2), z= -1..1,"noPole")
--R
--R
---R (205)
---R 4 4 1
---R 3log(-----------) + 3log(-----------) - 3log(-----------)
---R 2 2 2
---R I - 2I + 1 I + 2I + 1 I - 2I + 1
---R +
---R 1
---R - 3log(-----------) + 6log(4) - 24
---R 2
---R I + 2I + 1
+--R (172)
+--R %i %i
+--R (6log(4) + 3log(2%i) - 3log(--) - 3log(- --) + 3log(- 2%i) -
24)
+--R 2 2
--R *
---R +-------+
---R | I
---R |- -----
---R \| I - 1
+--R +--------+
+--R | %i
+--R |- ------
+--R \| 1 + %i
--R +
---R 4I - 4
+--R - 4 - 4%i
--R *
---R +-------+
---R | I
---R |- -----
---R \| I + 1
---R +
---R +-------+
---R | I
---R (- 4I - 4) |- -----
---R \| I - 1
+--R +------+
+--R | 1
+--R |------
+--R \|1 + %i
+--R +
+--R +--------+
+--R | %i
+--R (4 + 4%i) |- ------
+--R \| 1 + %i
--R /
---R +-------+ +-------+
---R | I | I
---R 6 |- ----- |- -----
---R \| I - 1 \| I + 1
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 207
+--R +--------+ +------+
+--R | %i | 1
+--R 6 |- ------ |------
+--R \| 1 + %i \|1 + %i
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 172
---S 208 of 267
+--S 173 of 224
in2375a:=integrate(acoth(1-z^(1/2))+1/z^(1/3), z= 0..1,"noPole")
--R
--R
--R 2log(4) + 1
---R (206) -----------
+--R (173) -----------
--R 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 208
+--E 173
---S 209 of 267
+--S 174 of 224
in2376a:=integrate(log(1-z^(1/3)-z^(2/3)), z= 0..infinity,"noPole")
--R
--R
---R (207)
+--R (174)
--R +-+
--R 3\|5
--R *
@@ -5326,341 +4824,230 @@ in2376a:=integrate(log(1-z^(1/3)-z^(2/3)), z=
0..infinity,"noPole")
--R /
--R 6
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 209
+--E 174
---S 210 of 267
-in2378a:=integrate((z^2+I*z-3)^(1/2)-tanh(z-1), z= -1..1,"noPole")
+--S 175 of 224
+in2378a:=integrate((z^2+%i*z-3)^(1/2)-tanh(z-1), z= -1..1,"noPole")
--R
--R
---R (208)
---R 4 2 +-------+ 5 4 3 2
---R (- 16I - 128I + 768)\|- I - 2 + 4I - 24I - 32I - 320I
---R +
---R - 960I - 384
---R *
---R +-----+
---R \|I - 2
---R +
---R 5 4 3 2 +-------+ 6 4
---R (4I + 24I - 32I + 320I - 960I + 384)\|- I - 2 - I + 60I
+--R (175)
+--R +--------+ +--------+
+--R (- 880\|- 2 - %i + 88 + 924%i)\|- 2 + %i
--R +
---R 2
---R 848I - 192
+--R +--------+
+--R (- 88 + 924%i)\|- 2 - %i + 979
--R *
---R +-------+ 2
---R log((- 4I + 8)\|- I - 2 + I - 8I - 4)
+--R +--------+
+--R log((8 - 4%i)\|- 2 - %i - 5 - 8%i)
--R +
---R 4 2 +-------+ 5 4 3 2
---R (16I + 128I - 768)\|- I - 2 - 4I + 24I + 32I + 320I +
960I
---R +
---R 384
---R *
---R +-----+
---R \|I - 2
---R +
---R 5 4 3 2 +-------+ 6 4
---R (- 4I - 24I + 32I - 320I + 960I - 384)\|- I - 2 + I - 60I
+--R +--------+ +--------+
+--------+
+--R (640\|- 2 - %i - 64 - 672%i)\|- 2 + %i + (64 - 672%i)\|- 2 - %i
--R +
---R 2
---R - 848I + 192
+--R - 712
--R *
---R +-----+ 2
---R log((- 4I - 8)\|I - 2 + I + 8I - 4)
---R +
---R 2 4 2 2
---R 2 (%e ) + 2(%e ) + 1 2
---R (128I - 512)log(--------------------) + (- 128I +
512)log(4)
---R 2 4
---R (%e )
---R +
---R 3 2
---R - 256I + 512I + 1024I - 2048
---R *
---R +-------+
---R \|- I - 2
+--R 2 4 2 2
+--R (%e ) + 2(%e ) + 1
+--R log(--------------------)
+--R 2 4
+--R (%e )
+--R +
+--R +--------+ +--------+
+--------+
+--R (880\|- 2 - %i - 88 - 924%i)\|- 2 + %i + (88 - 924%i)\|- 2 - %i
--R +
---R 2 4 2 2
---R 3 2 (%e ) + 2(%e ) + 1
---R (- 32I + 192I + 640I + 256)log(--------------------)
---R 2 4
---R (%e )
---R +
---R 3 2 5 4 3 2
---R (32I - 192I - 640I - 256)log(4) + 4I + 72I - 416I - 320I
---R +
---R 2624I + 2176
+--R - 979
--R *
---R +-----+
---R \|I - 2
---R +
---R 2 4 2 2
---R 3 2 (%e ) + 2(%e ) + 1
---R (- 32I - 192I + 640I - 256)log(--------------------)
---R 2 4
---R (%e )
---R +
---R 3 2 5 4 3 2
---R (32I + 192I - 640I + 256)log(4) - 4I + 72I + 160I - 1856I
+--R +--------+
+--R log((- 8 - 4%i)\|- 2 + %i - 5 + 8%i)
+--R +
+--R +--------+
+--R (- 640log(4) + 2560 - 1280%i)\|- 2 - %i + (64 + 672%i)log(4) -
2568
--R +
---R 2496I + 128
+--R - 3044%i
--R *
---R +-------+
---R \|- I - 2
+--R +--------+
+--R \|- 2 + %i
--R +
---R 2 4 2 2
---R 4 2 (%e ) + 2(%e ) + 1
---R (8I - 576I + 128)log(--------------------)
---R 2 4
---R (%e )
+--R +--------+
+--R ((- 64 + 672%i)log(4) - 2056 - 2332%i)\|- 2 - %i + 712log(4) - 2848
--R +
---R 4 2 5 4 3 2
---R (- 8I + 576I - 128)log(4) - 32I + 32I + 768I - 2304I - 2560I +
512
+--R 3360%i
--R /
---R 2 +-------+ 3 2 +-----+
---R ((256I - 1024)\|- I - 2 - 64I + 384I + 1280I + 512)\|I - 2
+--R +--------+ +--------+
+--------+
+--R (1280\|- 2 - %i - 128 - 1344%i)\|- 2 + %i + (128 - 1344%i)\|- 2 -
%i
--R +
---R 3 2 +-------+ 4 2
---R (- 64I - 384I + 1280I - 512)\|- I - 2 + 16I - 1152I + 256
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 210
+--R - 1424
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 175
---S 211 of 267
+--S 176 of 224
in2386a:=integrate(acoth(1-z)-(z^2-z+2)^(1/2), z= 0..1,"noPole")
--R
--R
--R +-+ +-+ +-+
--R - 7log(4\|2 + 9) + 7log(- 4\|2 + 9) - 8\|2 + 8log(4)
---R (209) -------------------------------------------------------
+--R (176) -------------------------------------------------------
--R 16
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 211
+--E 176
---S 212 of 267
-in2390a:=integrate((z^2-I*z-2)^(1/2)+1/sec(z-1), z= -1..1,"noPole")
+--S 177 of 224
+in2390a:=integrate((z^2-%i*z-2)^(1/2)+1/sec(z-1), z= -1..1,"noPole")
--R
--R
---R (210)
---R 8 6 4 2 +-------+ 9
8
---R (- 64I + 3840I + 18432I - 131072I )\|- I - 1 - 8I + 176I
---R +
---R 7 6 5 4 3 2
---R 1472I - 3456I - 1536I - 33792I - 102400I + 40960I +
65536I
---R *
---R +-----+
---R \|I - 1
+--R (177)
+--R 2%i +--------+ 2%i +--------+
+--R (- 560%e \|- 1 - %i + (168 - 476%i)%e )\|- 1 + %i
--R +
---R 9 8 7 6 5 4 3
---R - 8I - 176I + 1472I + 3456I - 1536I + 33792I - 102400I
---R +
---R 2
---R - 40960I + 65536I
---R *
---R +-------+
---R \|- I - 1
---R +
---R 10 8 6 4 2
---R - I + 792I - 6016I - 84992I + 110592I - 32768
+--R 2%i +--------+ 2%i
+--R (- 168 - 476%i)%e \|- 1 - %i + 455%e
--R *
---R +-----+ 2
---R log((4I + 8)\|I - 1 + I + 8I)
+--R +--------+
+--R log((8 + 4%i)\|- 1 + %i - 1 + 8%i)
--R +
---R 8 6 4 2 +-------+ 9 8
---R (64I - 3840I - 18432I + 131072I )\|- I - 1 + 8I - 176I
---R +
---R 7 6 5 4 3 2
---R - 1472I + 3456I + 1536I + 33792I + 102400I - 40960I -
65536I
---R *
---R +-----+
---R \|I - 1
---R +
---R 9 8 7 6 5 4 3
---R 8I + 176I - 1472I - 3456I + 1536I - 33792I + 102400I
---R +
---R 2
---R 40960I - 65536I
---R *
---R +-------+
---R \|- I - 1
---R +
---R 10 8 6 4 2
---R I - 792I + 6016I + 84992I - 110592I + 32768
---R *
---R +-------+ 2
---R log((4I - 8)\|- I - 1 + I - 8I)
---R +
---R 6 4 2 7 5
3
---R (1024I - 69632I + 262144I )sin(2) + 1536I - 63488I +
262144I
---R +
---R - 131072I
---R *
---R +-------+
---R \|- I - 1
---R +
---R 7 6 5 4 3 2
---R (128I - 2816I - 24576I + 77824I + 221184I - 81920I -
131072I)
---R *
---R sin(2)
+--R 2%i +--------+ 2%i +--------+
+--R (560%e \|- 1 - %i + (- 168 + 476%i)%e )\|- 1 + %i
--R +
---R 9 8 7 6 5 4 3
---R 4I + 264I - 3456I - 24320I + 67072I + 199680I - 122880I
---R +
---R 2
---R - 245760I + 16384I + 32768
+--R 2%i +--------+ 2%i
+--R (168 + 476%i)%e \|- 1 - %i - 455%e
--R *
---R +-----+
---R \|I - 1
+--R +--------+
+--R log((- 8 + 4%i)\|- 1 - %i - 1 - 8%i)
--R +
---R 7 6 5 4 3 2
---R (128I + 2816I - 24576I - 77824I + 221184I + 81920I -
131072I)
---R *
---R sin(2)
+--R 2%i 2 2%i +--------+
+--R (- 640%i (%e ) + 1280%i %e + 640%i)\|- 1 - %i
--R +
---R 9 8 7 6 5 4 3
---R - 4I + 264I + 3456I - 24320I - 67072I + 199680I + 122880I
---R +
---R 2
---R - 245760I - 16384I + 32768
+--R 2%i 2 2%i
+--R (544 + 192%i)(%e ) + (- 1480 - 580%i)%e - 544 - 192%i
--R *
---R +-------+
---R \|- I - 1
+--R +--------+
+--R \|- 1 + %i
--R +
---R 8 6 4 2 9 7
---R (16I - 12800I + 198656I - 229376I + 65536)sin(2) + 64I - 13824I
+--R 2%i 2 2%i
+--------+
+--R ((544 - 192%i)(%e ) + (- 1480 + 580%i)%e - 544 + 192%i)\|- 1 -
%i
--R +
---R 5 3
---R 174080I - 327680I + 131072I
+--R 2%i 2 2%i
+--R 520%i (%e ) - 1824%i %e - 520%i
--R /
---R 6 4 2 +-------+ 7 6
5
---R (1024I - 69632I + 262144I )\|- I - 1 + 128I - 2816I - 24576I
---R +
---R 4 3 2
---R 77824I + 221184I - 81920I - 131072I
---R *
---R +-----+
---R \|I - 1
+--R 2%i +--------+ 2%i +--------+
+--R (1280%e \|- 1 - %i + (- 384 + 1088%i)%e )\|- 1 + %i
--R +
---R 7 6 5 4 3 2
---R (128I + 2816I - 24576I - 77824I + 221184I + 81920I - 131072I)
---R *
---R +-------+
---R \|- I - 1
---R +
---R 8 6 4 2
---R 16I - 12800I + 198656I - 229376I + 65536
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 212
+--R 2%i +--------+ 2%i
+--R (384 + 1088%i)%e \|- 1 - %i - 1040%e
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 177
---S 213 of 267
+--S 178 of 224
in2392a:=integrate(1/sec(z-1)+acoth(1-z^(1/2)), z= 0..1,"noPole")
--R
--R
---R (211) sin(1) + log(4) - 1
+--R (178) sin(1) + log(4) - 1
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 213
+--E 178
---S 214 of 267
-in2404a:=integrate(1/(1+I*z^2)^(1/2)+acoth(z), z= -1..1,"noPole")
+--S 179 of 224
+in2404a:=integrate(1/(1+%i*z^2)^(1/2)+acoth(z), z= -1..1,"noPole")
--R
--R
---R (212)
+--R (179)
--R [
---R -
---R log
---R 2 +-+ 2 +-----+ 2 +-+
3
---R ((2I + 4I)\|I + 4I + 2I)\|I + 1 + (- 4I - 4I)\|I -
2I
---R +
---R 2
---R - 5I - 2I
---R /
---R +-----+
---R 2\|I + 1 - I - 2
+--R +-----+
+--R \|- 4%i
+--R *
+--R log
+--R +-----+ +------+
+-----+
+--R ((4 - 8%i)\|- 4%i + 8 + 16%i)\|1 + %i + (- 8 + 8%i)\|-
4%i
+--R +
+--R - 20%i
+--R /
+--R +------+
+--R 2\|1 + %i - 2 - %i
--R +
---R log
---R 2 +-+ 2 +-----+ 2 +-+ 3
---R ((- 2I - 4I)\|I + 4I + 2I)\|I + 1 + (4I + 4I)\|I - 2I
---R +
---R 2
---R - 5I - 2I
---R /
---R +-----+
---R 2\|I + 1 - I - 2
+--R -
+--R +-----+
+--R \|- 4%i
+--R *
+--R log
+--R +-----+ +------+
+--R ((- 4 + 8%i)\|- 4%i + 8 + 16%i)\|1 + %i
+--R +
+--R +-----+
+--R (8 - 8%i)\|- 4%i - 20%i
+--R /
+--R +------+
+--R 2\|1 + %i - 2 - %i
--R /
---R +-+
---R 2\|I
+--R 4
--R ,
---R +---+ +-----+ +---+
---R \|- I \|I + 1 - \|- I
---R 4atan(-----------------------)
---R I
---R ------------------------------]
---R +---+
---R \|- I
---R Type: Union(f2: List OrderedCompletion Expression
Integer,...)
---E 214
+--R +------+
+--R +---+ 2%i\|1 + %i - 2%i
+--R - 2\|4%i atan(------------------)]
+--R +---+
+--R \|4%i
+--R Type: Union(f2: List OrderedCompletion Expression Complex
Integer,...)
+--E 179
---S 215 of 267
-in2409a:=integrate(tan(z)+1/(I/(z+I))^(1/2), z= 0..1/2*%pi,"noPole")
+--S 180 of 224
+in2409a:=integrate(tan(z)+1/(%i/(z+%i))^(1/2), z= 0..1/2*%pi,"noPole")
--R
--R
---R (213) + infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 215
+--R (180) + infinity
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 180
---S 216 of 267
-in248a:=integrate(log(z^I)^2, z= 0..1,"noPole")
+--S 181 of 224
+in248a:=integrate(log(z^%i)^2, z= 0..1,"noPole")
--R
--R
---R 2
---R (214) 2I
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 216
+--R (181) - 2
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 181
---S 217 of 267
+--S 182 of 224
in248b:=integrate(log(z^%i)^2, z= 0..1,"noPole")
--R
--R
---R (215) - 2
+--R (182) - 2
--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
---E 217
+--E 182
---S 218 of 267
+--S 183 of 224
in249a:=integrate((sin(z)/(cos(z)-1))^(1/3), z= 0..%pi,"noPole")
--R
--R
--R 3+-+ 3+-+ +-+
--R 3log(32\|2 ) - 12log(2\|2 ) - 4%pi\|3
---R (216) --------------------------------------
+--R (183) --------------------------------------
--R 24
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 218
+--E 183
---S 219 of 267
+--S 184 of 224
in251a:=integrate((-1)^z*exp(-z)*sin(z), z= 0..%plusInfinity,"noPole")
--R
--R
--R 2
--R - %pi + 2
---R (217) ----------
+--R (184) ----------
--R 4
--R %pi + 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 219
+--E 184
---S 220 of 267
+--S 185 of 224
in2434a:=integrate(acoth(z^(1/2))+log(abs(z-1)), z= 0..1,"noPole")
--R
--R
--R log(16) + log(4) - 6log(2)
---R (218) --------------------------
+--R (185) --------------------------
--R 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 220
+--E 185
---S 221 of 267
+--S 186 of 224
in2443a:=integrate(sech(z)+log(abs(1-1/z^(1/3))), z= -1..1,"noPole")
--R
--R
---R (219)
+--R (186)
--R 3+---+2 3+---+
--R 3+---+2 3+---+ \|- 1 - 2\|- 1 + 1
--R log(\|- 1 - 2\|- 1 + 1) + log(---------------------) + 4atan(%e)
@@ -5673,75 +5060,70 @@ in2443a:=integrate(sech(z)+log(abs(1-1/z^(1/3))), z=
-1..1,"noPole")
--R /
--R 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 221
+--E 186
---S 222 of 267
+--S 187 of 224
in2462a:=integrate(log((1+(1-z)^(1/2))/z)+csch(z), z= -1..0,"noPole")
--R
--R
---R (220) - infinity
+--R (187) - infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 222
+--E 187
---S 223 of 267
-in2469a:=integrate(1/(2+z)^2+1/(z^2-I*z-2)^(1/2), z= -1..1,"noPole")
+--S 188 of 224
+in2469a:=integrate(1/(2+z)^2+1/(z^2-%i*z-2)^(1/2), z= -1..1,"noPole")
--R
--R
---R (221)
---R +-----+ 2 +-------+ 2
---R 3log((4I + 8)\|I - 1 + I + 8I) - 3log((4I - 8)\|- I - 1 + I - 8I) + 4
---R -------------------------------------------------------------------------
---R 6
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 223
+--R (188)
+--R +--------+
+--R 3log((8 + 4%i)\|- 1 + %i - 1 + 8%i)
+--R +
+--R +--------+
+--R - 3log((- 8 + 4%i)\|- 1 - %i - 1 - 8%i) + 4
+--R /
+--R 6
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 188
---S 224 of 267
+--S 189 of 224
in2484a:=integrate(log(1-z^2)+sinh(z^(1/2)), z= 0..%plusInfinity,"noPole")
--R
--R
---R (222) + infinity
+--R (189) + infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 224
+--E 189
---S 225 of 267
+--S 190 of 224
in2485a:=integrate(log(1-z^(1/2))-acoth(z^(1/2)), z= 0..1,"noPole")
--R
--R
--R - log(16) + log(4) + 2log(2) - 10
---R (223) ---------------------------------
+--R (190) ---------------------------------
--R 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 225
+--E 190
---S 226 of 267
+--S 191 of 224
in2521a:=integrate(acoth(z^(1/2))+cos(z^(1/2)-1), z= 0..1,"noPole")
--R
--R
---R (224) - 2cos(1) + 3
+--R (191) - 2cos(1) + 3
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 226
+--E 191
---S 227 of 267
+--S 192 of 224
in2524a:=integrate(log(abs(1+1/z^(1/3)))+log(1+1/z), z= -1..0,"noPole")
--R
--R
---R (225) - infinity
+--R (192) - infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 227
-
---S 228 of 267
-in2527a:=integrate(1/(1+I*z^(1/3))+cosh(z), z= %minusInfinity..0,"noPole")
---R
---R
---R (226) + infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 228
+--E 192
---S 229 of 267
+--S 193 of 224
in2533a:=integrate(log(abs(1-1/z^(1/3)))-log(1-1/z), z= -1..0,"noPole")
--R
--R
---R (227)
+--R (193)
--R 3+---+2 3+---+
--R 3+---+2 3+---+ \|- 1 - 2\|- 1 + 1 3+---+2
--R - log(3\|- 1 + \|- 1 - 1) + log(---------------------) + \|- 1
@@ -5753,104 +5135,52 @@ in2533a:=integrate(log(abs(1-1/z^(1/3)))-log(1-1/z),
z= -1..0,"noPole")
--R /
--R 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 229
+--E 193
---S 230 of 267
+--S 194 of 224
in2566a:=integrate(log(1+(1-z)^(1/2))+acoth(1-z), z= -1..1,"noPole")
--R
--R
--R +-+ +-+
--R 4log(\|2 + 1) + 4\|2 + 3log(9) - 4
---R (228) ------------------------------------
+--R (194) ------------------------------------
--R 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 230
-
---S 231 of 267
-in2567a:=integrate(1/(I*z)^(1/3)*log(abs(z-1)), z= 0..1/2*%pi,"noPole")
---R
---R
---R (229)
---R 3+---+3+-----+2 3+-+3+---+2 3+-----+ 2 3+-+2
---R 3+-+2 - I\|- I \|I %pi - 2I\|2 \|- I \|I %pi + I \|2
---R 6I \|2 log(----------------------------------------------------)
---R 3+-+2
---R \|2
---R +
---R -
---R 3+-+2
---R 3I \|2
---R *
---R log
---R 3+---+3+-----+2 3+-+3+---+2 3+-----+
---R - 6I\|- I \|I %pi + (I %pi + 4I)\|2 \|- I \|I %pi
---R +
---R 2 2 3+-+2
---R (2I %pi + 2I )\|2
---R /
---R 3+-+2
---R 2\|2
---R +
---R 3+---+2 3+-----+ 3+-+
---R 3+-+2 +-+ 2\|- I \|I %pi + I\|2
---R 12I \|2 \|3 atan(------------------------)
---R 3+-+ +-+
---R I\|2 \|3
---R +
---R 2
---R %pi - 4%pi + 4 3+---+3+-----+2 3+-+2 2
---R (6log(---------------) - 18)\|- I \|I %pi - 3I \|2 log(I )
---R 4
---R +
---R 3+-+2 +-+
---R - 2I %pi \|2 \|3
---R /
---R 3+-+2 3+---+
---R 8I \|2 \|- I
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 231
+--E 194
---S 232 of 267
+--S 195 of 224
in2586a:=integrate(acoth(z^(1/2))+atan(z^(1/2)), z= 0..1,"noPole")
--R
--R
--R log(16) - log(4) - 2log(2) + 2%pi
---R (230) ---------------------------------
+--R (195) ---------------------------------
--R 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 232
+--E 195
---S 233 of 267
+--S 196 of 224
in2591a:=integrate(log(z)/(1-z^(1/2))^3-log(z)*log(-z), z= 0..1,"noPole")
--R
--R
---R (231) - infinity
+--R (196) - infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 233
-
---S 234 of 267
-in2597a:=integrate((1+I/z)^(1/2)-log(1-1/z^2), z= 0..%plusInfinity,"noPole")
---R
---R
---R (232) + infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 234
+--E 196
---S 235 of 267
+--S 197 of 224
in2598a:=integrate(exp(-z^(1/2))+acoth(1-z^(1/2)), z= 0..1,"noPole")
--R
--R
--R %e log(4) + %e - 4
---R (233) ------------------
+--R (197) ------------------
--R %e
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 235
+--E 197
---S 236 of 267
+--S 198 of 224
in2604a:=integrate(acoth(1-z^(1/2))+log(1+z^(1/3)), z= 1..2,"noPole")
--R
--R
---R (234)
+--R (198)
--R 6+-+2 6+-+3 6+-+3 6+-+4
--R 18log(\|2 + 1) + 3log(- 2\|2 + 3) - 6log(- 4\|2 + 6) + 3\|2
--R +
@@ -5859,55 +5189,54 @@ in2604a:=integrate(acoth(1-z^(1/2))+log(1+z^(1/3)), z=
1..2,"noPole")
--R /
--R 6
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 236
+--E 198
---S 237 of 267
+--S 199 of 224
in271a:=integrate(1/sqrt((z^2-1)*(z^2-1)), z= 2..%plusInfinity,"noPole")
--R
--R
--R log(9)
---R (235) ------
+--R (199) ------
--R 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 237
+--E 199
---S 238 of 267
-in275c:=integrate(sqrt(z), z= -I..I,"noPole")
+--S 200 of 224
+in275c:=integrate(sqrt(z), z= -%i..%i,"noPole")
--R
--R
---R +-+ +---+
---R 2I\|I + 2I\|- I
---R (236) -----------------
---R 3
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 238
+--R +--+ +----+
+--R 2%i\|%i + 2%i\|- %i
+--R (200) ---------------------
+--R 3
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 200
---S 239 of 267
-in275a:=integrate(1/(1+z), z= -I..I,"noPole")
+--S 201 of 224
+in275a:=integrate(1/(1+z), z= -%i..%i,"noPole")
--R
--R
---R 2 2
---R log(I + 2I + 1) - log(I - 2I + 1)
---R (237) -----------------------------------
---R 2
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 239
+--R log(2%i) - log(- 2%i)
+--R (201) ---------------------
+--R 2
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 201
---S 240 of 267
+--S 202 of 224
in275b:=integrate(1/(1+z), z= -%i..%i,"noPole")
--R
--R
--R log(2%i) - log(- 2%i)
---R (238) ---------------------
+--R (202) ---------------------
--R 2
--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
---E 240
+--E 202
---S 241 of 267
+--S 203 of 224
in276a:=integrate(log(1-z^(1/3)-z^(2/3)), z= 0..sqrt(5)-2,"noPole")
--R
--R
---R (239)
+--R (203)
--R +-+
--R 3\|5
--R *
@@ -5932,258 +5261,155 @@ in276a:=integrate(log(1-z^(1/3)-z^(2/3)), z=
0..sqrt(5)-2,"noPole")
--R /
--R 6
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 241
+--E 203
---S 242 of 267
-in2634a:=integrate(1/(z^2+I*z-1)^(1/2)+log(abs(z-1)), z= -1..1,"noPole")
+--S 204 of 224
+in2634a:=integrate(1/(z^2+%i*z-1)^(1/2)+log(abs(z-1)), z= -1..1,"noPole")
--R
--R
---R (240)
---R +---+ 2 +-+ 2
---R log((- 4I + 8)\|- I + I - 8I + 4) - log((- 4I - 8)\|I + I + 8I +
4)
+--R (204)
+--R +----+ +--+
+--R log((8 - 4%i)\|- %i + 3 - 8%i) - log((- 8 - 4%i)\|%i + 3 + 8%i)
--R +
--R 2log(4) - 4
--R /
--R 2
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 242
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 204
---S 243 of 267
+--S 205 of 224
in2656a:=integrate(acoth(1-(1-z)^(1/2))-log(1-1/z), z= -1..1,"noPole")
--R
--R
---R (241)
+--R (205)
--R +-+ +-+ +-+ +-+
--R - 10log(\|2 ) + log(- 2\|2 + 3) - 3log(- 4\|2 + 6) - 4\|2 + 2log(4)
--R ----------------------------------------------------------------------
--R 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 243
+--E 205
---S 244 of 267
+--S 206 of 224
in2676a:=integrate(acoth(1-(1-z)^(1/2))-log(1-1/z), z= -1..1,"noPole")
--R
--R
---R (242)
+--R (206)
--R +-+ +-+ +-+ +-+
--R - 10log(\|2 ) + log(- 2\|2 + 3) - 3log(- 4\|2 + 6) - 4\|2 + 2log(4)
--R ----------------------------------------------------------------------
--R 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 244
+--E 206
---S 245 of 267
+--S 207 of 224
in2664aa:=integrate(atanh(1/z)+(1+z^2)^(1/2), z= 0..%plusInfinity,"noPole")
--R
--R
---R (243) + infinity
+--R (207) + infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 245
+--E 207
---S 246 of 267
-in2681a:=integrate((z^2-I*z-3)^(1/2)+%pi-acot(z-1), z= -1..1,"noPole")
+--S 208 of 224
+in2681a:=integrate((z^2-%i*z-3)^(1/2)+%pi-acot(z-1), z= -1..1,"noPole")
--R
--R
---R (244)
---R 4 2 +-------+ 5 4 3 2
---R (- 16I - 128I + 768)\|- I - 2 - 4I + 24I + 32I + 320I
---R +
---R 960I + 384
---R *
---R +-----+
---R \|I - 2
---R +
---R 5 4 3 2 +-------+ 6 4
---R (- 4I - 24I + 32I - 320I + 960I - 384)\|- I - 2 - I + 60I
+--R (208)
+--R +--------+ +--------+
+--------+
+--R (- 880\|- 2 - %i - 88 - 924%i)\|- 2 + %i + (88 - 924%i)\|- 2 -
%i
--R +
---R 2
---R 848I - 192
+--R 979
--R *
---R +-----+ 2
---R log((4I + 8)\|I - 2 + I + 8I - 4)
+--R +--------+
+--R log((8 + 4%i)\|- 2 + %i - 5 + 8%i)
--R +
---R 4 2 +-------+ 5 4 3 2
---R (16I + 128I - 768)\|- I - 2 + 4I - 24I - 32I - 320I -
960I
---R +
---R - 384
---R *
---R +-----+
---R \|I - 2
+--R +--------+ +--------+
+--------+
+--R (880\|- 2 - %i + 88 + 924%i)\|- 2 + %i + (- 88 + 924%i)\|- 2 -
%i
--R +
---R 5 4 3 2 +-------+ 6 4
---R (4I + 24I - 32I + 320I - 960I + 384)\|- I - 2 + I - 60I
---R +
---R 2
---R - 848I + 192
+--R - 979
--R *
---R +-------+ 2
---R log((4I - 8)\|- I - 2 + I - 8I - 4)
+--R +--------+
+--R log((- 8 + 4%i)\|- 2 - %i - 5 - 8%i)
--R +
---R 2 2 4 2
---R (64I - 256)log(25) + (256I - 1024)atan(-) + (512I -
2048)%pi
---R 3
---R +
---R 3
---R 256I - 1024I
---R *
---R +-------+
---R \|- I - 2
---R +
---R 3 2
---R (16I - 96I - 320I - 128)log(25)
+--R - 4 + 3%i +--------+
+--R (320log(25) - 640%i log(---------) + 2560%pi + 1280%i)\|- 2 - %i
+--R 4 + 3%i
--R +
---R 3 2 4
---R (64I - 384I - 1280I - 512)atan(-)
---R 3
+--R - 4 + 3%i
+--R (32 + 336%i)log(25) + (672 - 64%i)log(---------) + (256 +
2688%i)%pi
+--R 4 + 3%i
--R +
---R 3 2 5 4 3 2
---R (128I - 768I - 2560I - 1024)%pi + 4I + 72I - 288I - 1088I
+ 64I
---R +
---R 1152
+--R - 2312 - 356%i
--R *
---R +-----+
---R \|I - 2
+--R +--------+
+--R \|- 2 + %i
--R +
---R 3 2
---R (16I + 96I - 320I + 128)log(25)
---R +
---R 3 2 4
---R (64I + 384I - 1280I + 512)atan(-)
---R 3
---R +
---R 3 2 5 4 3 2
---R (128I + 768I - 2560I + 1024)%pi - 4I + 72I + 288I - 1088I
- 64I
+--R - 4 + 3%i
+--R (- 32 + 336%i)log(25) + (672 + 64%i)log(---------)
+--R 4 + 3%i
--R +
---R 1152
+--R (- 256 + 2688%i)%pi - 2312 + 356%i
--R *
---R +-------+
---R \|- I - 2
+--R +--------+
+--R \|- 2 - %i
--R +
---R 4 2 4 2 4
---R (4I - 288I + 64)log(25) + (16I - 1152I + 256)atan(-)
---R 3
---R +
---R 4 2 5 3
---R (32I - 2304I + 512)%pi + 32I - 768I + 2560I
+--R - 4 + 3%i
+--R - 356log(25) + 712%i log(---------) - 2848%pi - 3360%i
+--R 4 + 3%i
--R /
---R 2 +-------+ 3 2 +-----+
---R ((256I - 1024)\|- I - 2 + 64I - 384I - 1280I - 512)\|I - 2
---R +
---R 3 2 +-------+ 4 2
---R (64I + 384I - 1280I + 512)\|- I - 2 + 16I - 1152I + 256
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 246
-
---S 247 of 267
-in2691a:=integrate(1/(z^2+I*z-1)^(1/2)+(1-I*z)^(1/2), z= -1..1,"noPole")
---R
---R
---R (245)
---R +---+ 2
---R 3I log((- 4I + 8)\|- I + I - 8I + 4)
---R +
---R +-+ 2 +-----+
---R - 3I log((- 4I - 8)\|I + I + 8I + 4) + (4I + 4)\|I + 1
+--R +--------+ +--------+
+--------+
+--R (1280\|- 2 - %i + 128 + 1344%i)\|- 2 + %i + (- 128 + 1344%i)\|- 2
- %i
--R +
---R +-------+
---R (4I - 4)\|- I + 1
---R /
---R 6I
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 247
+--R - 1424
+--R Type: Union(f1: OrderedCompletion Expression Complex
Integer,...)
+--E 208
+--S 209 of 224
in2720a:=integrate(acoth(1-(1-z)^(1/2))+atan(z-1), z= 0..1,"noPole")
--R
--R
--R 5log(4) - %pi - 4
---R (246) -----------------
+--R (209) -----------------
--R 4
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 248
+--E 209
---S 249 of 267
+--S 210 of 224
in2724a:=integrate(log(1-1/z^3)-(1+1/z^2)^(1/2), z= 0..%plusInfinity,"noPole")
--R
--R
---R (247) - infinity
+--R (210) - infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 249
+--E 210
---S 250 of 267
+--S 211 of 224
in2732:=integrate(atan(1/3*3^(1/2)*(2*z-1)), z= 0..%plusInfinity)
--R
--R
---R (248) - infinity
+--R (211) - infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 250
+--E 211
---S 251 of 267
+--S 212 of 224
in2783a:=integrate(1/z^(1/3)+atanh(1/z^(1/2)), z= 0..%plusInfinity,"noPole")
--R
--R
---R (249) + infinity
+--R (212) + infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 251
-
---S 252 of 267
-in2815a:=integrate((I*z)^(1/2)-(1+1/(I*z)^(1/2))^(1/2), z= -1..1,"noPole")
---R
---R
---R (250)
---R +----------+ +--------+
---R | +---+ | +-+
---R |\|- I + 1 |\|I + 1
---R - 6log( |---------- + 1) + 6log( |-------- + 1)
---R | +---+ | +-+
---R \| \|- I \| \|I
---R +
---R +--------+
---R | +-+
---R +-+ |\|I + 1 +-+
---R - 2\|I |-------- + 2\|I + 1
---R | +-+
---R \| \|I
---R - 3log(------------------------------)
---R +-+
---R \|I
---R +
---R +----------+
---R | +---+
---R +---+ |\|- I + 1 +---+
---R - 2\|- I |---------- + 2\|- I + 1
---R | +---+
---R \| \|- I
---R 3log(------------------------------------)
---R +---+
---R \|- I
---R +
---R +----------+ +--------+
---R | +---+ | +-+
---R +---+ |\|- I + 1 +-+ |\|I + 1 +-+
---R (12\|- I - 24I) |---------- + (- 12\|I - 24I) |-------- + 16I\|I
---R | +---+ | +-+
---R \| \|- I \| \|I
---R +
---R +---+
---R 16I\|- I
---R /
---R 24I
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 252
+--E 212
---S 253 of 267
+--S 213 of 224
in285:=integrate(sqrt(1+sqrt(z-1)), z)
--R
--R
--R +------------+
--R +-----+ | +-----+
--R (4\|z - 1 + 12z - 20)\|\|z - 1 + 1
---R (251) -------------------------------------
+--R (213) -------------------------------------
--R 15
--R Type: Union(Expression
Integer,...)
---E 253
+--E 213
---S 254 of 267
+--S 214 of 224
in295a:=integrate(z*sqrt(1+sqrt(z^2-1)), z)
--R
--R
@@ -6191,285 +5417,71 @@ in295a:=integrate(z*sqrt(1+sqrt(z^2-1)), z)
--R +------+ | +------+
--R | 2 2 | | 2
--R (2\|z - 1 + 6z - 10)\|\|z - 1 + 1
---R (252) ---------------------------------------
+--R (214) ---------------------------------------
--R 15
--R Type: Union(Expression
Integer,...)
---E 254
+--E 214
---S 255 of 267
+--S 215 of 224
in295ba:=integrate(z*sqrt(1+sqrt(z^2-1)), z= 1..sqrt(2),"noPole")
--R
--R
--R +-+
--R 4\|2 + 4
---R (253) ---------
+--R (215) ---------
--R 15
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 255
+--E 215
---S 256 of 267
+--S 216 of 224
integrate(1/sqrt(20+x^2+y^2), x = -5..5,"noPole")
--R
--R
--R +-------+ +-------+
--R | 2 2 | 2 2
--R log(10\|y + 45 + y + 70) - log(- 10\|y + 45 + y + 70)
---R (254) -----------------------------------------------------------
+--R (216) -----------------------------------------------------------
--R 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 256
+--E 216
---S 257 of 267
+--S 217 of 224
in291:=integrate(cos(2*atan(z-sqrt(2)))-sin(2*atan(z-sqrt(2))), z =
0..%plusInfinity)
--R
--R
---R (255) - infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 257
-
---S 258 of 267
-in2924a:=integrate(1/(I*z)^(1/2)+(1+1/(I*z)^(1/2))^(1/2), z= -1..1,"noPole")
---R
---R
---R (256)
---R +----------+ +--------+
---R | +---+ | +-+
---R +---+ +-+ |\|- I + 1 +---+ +-+ |\|I + 1
---R 2\|- I \|I log( |---------- + 1) - 2\|- I \|I log( |-------- + 1)
---R | +---+ | +-+
---R \| \|- I \| \|I
---R +
---R +--------+
---R | +-+
---R +-+ |\|I + 1 +-+
---R - 2\|I |-------- + 2\|I + 1
---R | +-+
---R +---+ +-+ \| \|I
---R \|- I \|I log(------------------------------)
---R +-+
---R \|I
---R +
---R +----------+
---R | +---+
---R +---+ |\|- I + 1 +---+
---R - 2\|- I |---------- + 2\|- I + 1
---R | +---+
---R +---+ +-+ \| \|- I
---R - \|- I \|I log(------------------------------------)
---R +---+
---R \|- I
---R +
---R +----------+
+--------+
---R | +---+ | +-+
---R +---+ +-+ |\|- I + 1 +---+ +-+ +---+ |\|I +
1
---R (8I\|- I + 4I)\|I |---------- + (8I\|- I \|I + 4I\|- I )
|--------
---R | +---+ | +-+
---R \| \|- I \| \|I
---R +
---R +-+ +---+
---R 16I\|I + 16I\|- I
---R /
---R +---+ +-+
---R 8I\|- I \|I
+--R (217) - infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 258
-
---S 259 of 267
-in2963a:=integrate(cosh(-1+(1-z)^(1/2))+(z^2+I*z-3)^(1/2), z= -1..1,"noPole")
---R
---R
---R (257)
---R +-+
---R 4 2 \|2 - 1 +-------+
---R (- 16I - 128I + 768)%e %e \|- I - 2
---R +
---R +-+
---R 5 4 3 2 \|2 - 1
---R (4I - 24I - 32I - 320I - 960I - 384)%e %e
---R *
---R +-----+
---R \|I - 2
---R +
---R +-+
---R 5 4 3 2 \|2 - 1 +-------+
---R (4I + 24I - 32I + 320I - 960I + 384)%e %e \|- I - 2
---R +
---R +-+
---R 6 4 2 \|2 - 1
---R (- I + 60I + 848I - 192)%e %e
---R *
---R +-------+ 2
---R log((- 4I + 8)\|- I - 2 + I - 8I - 4)
---R +
---R +-+
---R 4 2 \|2 - 1 +-------+
---R (16I + 128I - 768)%e %e \|- I - 2
---R +
---R +-+
---R 5 4 3 2 \|2 - 1
---R (- 4I + 24I + 32I + 320I + 960I + 384)%e %e
---R *
---R +-----+
---R \|I - 2
---R +
---R +-+
---R 5 4 3 2 \|2 - 1 +-------+
---R (- 4I - 24I + 32I - 320I + 960I - 384)%e %e \|- I - 2
---R +
---R +-+
---R 6 4 2 \|2 - 1
---R (I - 60I - 848I + 192)%e %e
---R *
---R +-----+ 2
---R log((- 4I - 8)\|I - 2 + I + 8I - 4)
---R +
---R +-+ 2
---R 2 +-+ 2 \|2 - 1
---R ((256I - 1024)%e\|2 + (- 256I + 1024)%e)(%e )
---R +
---R 2 2 3 2
---R ((256I - 1024)%e + (- 256I + 1024I)%e + 256I - 1024)
---R *
---R +-+
---R \|2 - 1
---R %e
---R +
---R 2 +-+ 2
---R (- 256I + 1024)%e\|2 + (- 256I + 1024)%e
---R *
---R +-------+
---R \|- I - 2
---R +
---R 3 2 +-+
---R (- 64I + 384I + 1280I + 512)%e\|2
---R +
---R 3 2
---R (64I - 384I - 1280I - 512)%e
---R *
---R +-+ 2
---R \|2 - 1
---R (%e )
---R +
---R 3 2 2
---R (- 64I + 384I + 1280I + 512)%e
---R +
---R 5 4 3 2 3 2
---R (4I + 72I - 288I - 1088I + 64I + 1152)%e - 64I + 384I
---R +
---R 1280I + 512
---R *
---R +-+
---R \|2 - 1
---R %e
---R +
---R 3 2 +-+ 3 2
---R (64I - 384I - 1280I - 512)%e\|2 + (64I - 384I - 1280I -
512)%e
---R *
---R +-----+
---R \|I - 2
---R +
---R 3 2 +-+
---R (- 64I - 384I + 1280I - 512)%e\|2
---R +
---R 3 2
---R (64I + 384I - 1280I + 512)%e
---R *
---R +-+ 2
---R \|2 - 1
---R (%e )
---R +
---R 3 2 2
---R (- 64I - 384I + 1280I - 512)%e
---R +
---R 5 4 3 2 3 2
---R (- 4I + 72I + 288I - 1088I - 64I + 1152)%e - 64I - 384I
---R +
---R 1280I - 512
---R *
---R +-+
---R \|2 - 1
---R %e
---R +
---R 3 2 +-+ 3 2
---R (64I + 384I - 1280I + 512)%e\|2 + (64I + 384I - 1280I +
512)%e
---R *
---R +-------+
---R \|- I - 2
---R +
---R +-+
2
---R 4 2 +-+ 4 2 \|2 - 1
---R ((16I - 1152I + 256)%e\|2 + (- 16I + 1152I - 256)%e)(%e )
---R +
---R 4 2 2 5 3 4
2
---R (16I - 1152I + 256)%e + (- 32I + 768I - 2560I)%e + 16I -
1152I
---R +
---R 256
---R *
---R +-+
---R \|2 - 1
---R %e
---R +
---R 4 2 +-+ 4 2
---R (- 16I + 1152I - 256)%e\|2 + (- 16I + 1152I - 256)%e
---R /
---R +-+
---R 2 \|2 - 1 +-------+
---R (256I - 1024)%e %e \|- I - 2
---R +
---R +-+
---R 3 2 \|2 - 1
---R (- 64I + 384I + 1280I + 512)%e %e
---R *
---R +-----+
---R \|I - 2
---R +
---R +-+
---R 3 2 \|2 - 1 +-------+
---R (- 64I - 384I + 1280I - 512)%e %e \|- I - 2
---R +
---R +-+
---R 4 2 \|2 - 1
---R (16I - 1152I + 256)%e %e
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 259
+--E 217
---S 260 of 267
+--S 218 of 224
in2992a:=integrate(acoth(1-z^(1/2))+log(1+z^(1/3)), z=
1..%plusInfinity,"noPole")
--R
--R
---R (258) + infinity
+--R (218) + infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 260
+--E 218
---S 261 of 267
+--S 219 of 224
in2997a:=integrate(log(1+1/z^3)-log(abs(1+z)), z=
%minusInfinity..%plusInfinity,"noPole")
--R
--R
---R (259) - infinity
+--R (219) - infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 261
-
---S 262 of 267
-in3001a:=integrate(((I*z)^(1/2)-1)/(-2+(I*z)^(1/2)), z=
0..%plusInfinity,"noPole")
---R
---R
---R (260) + infinity
---R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 262
+--E 219
---S 263 of 267
+--S 220 of 224
in3008a:=integrate(exp(-z^(1/3))+atanh(1/z^(1/2)), z=
0..%plusInfinity,"noPole")
--R
--R
---R (261) + infinity
+--R (220) + infinity
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 263
+--E 220
---S 264 of 267
+--S 221 of 224
in303a:=integrate(1/(1+cosh(n*z)^2), z= 0..1,"noPole")
--R
--R
---R (262)
+--R (221)
--R log
--R +-+ - n 8 +-+ - n 6
--R (- 816\|2 + 1154)(%e ) + (- 560\|2 + 792)(%e )
@@ -6486,13 +5498,13 @@ in303a:=integrate(1/(1+cosh(n*z)^2), z= 0..1,"noPole")
--R +-+
--R 4n\|2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 264
+--E 221
---S 265 of 267
+--S 222 of 224
in314a:=integrate(1/(sin(z)-1/2), z= 0..1,"noPole")
--R
--R
---R (263)
+--R (222)
--R log
--R 2 2
--R - 12sin(1) + (42cos(1) + 48)sin(1) - 36cos(1) -
84cos(1)
@@ -6514,25 +5526,25 @@ in314a:=integrate(1/(sin(z)-1/2), z= 0..1,"noPole")
--R +-+
--R \|3
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 265
+--E 222
---S 266 of 267
+--S 223 of 224
in317:=integrate((cos(z)^a)^(1/a), z= 0..%pi)
--R
--R
---R (264) 0
+--R (223) 0
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 266
+--E 223
---S 267 of 267
+--S 224 of 224
in319a:=integrate(exp(-z)*atan(sin(z)/(1+cos(z))), z=0..%plusInfinity,"noPole")
--R
--R
--R 1
---R (265) -
+--R (224) -
--R 2
--R Type: Union(f1: OrderedCompletion Expression
Integer,...)
---E 267
+--E 224
)spool
)lisp (bye)
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