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Re: [Axiom-developer] problems with integrate
From: |
Waldek Hebisch |
Subject: |
Re: [Axiom-developer] problems with integrate |
Date: |
Sat, 22 Nov 2014 15:47:17 +0100 (CET) |
Tim Daly wrote:
>
> Question from Thomas Baruchel
>
> integrate((16*x^14-125*x^10+150*x^6+375*x^2)/(256*x^16+480*x^12+1025*x^8+750*x^4
> +625),x=0..1)
>
> 5
> (1) --
> 77
> Type: Union(f1: OrderedCompletion(Expression(Integer)),...)
> (2) ->
> integrate((16*x^14-125*x^10+150*x^6+375*x^2)/(256*x^16+480*x^12+1025*x^8+750*x^4
> +625),x)
>
> 7 3
> 5x + 35x
> (2) -------------------
> 8 4
> 176x + 165x + 275
> Type: Union(Expression(Integer),...)
> (3) -> D( (5*x^7+35*x^3)/(176*x^8+165*x^4+275) ,x)
>
> 14 10 6 2
> - 80x - 2575x + 350x + 2625x
> (3) -------------------------------------------
> 16 12 8 4
> 2816x + 5280x + 11275x + 8250x + 6875
> Type: Fraction(Polynomial(Integer))
AFAICS logarithmic terms got lost. FriCAS on the same input
produces ugly, long answer containing several logarithmic
terms. The above agrees with rational part of FriCAS answer.
Old code contained a bug which sometimes caused such effect.
--
Waldek Hebisch
address@hidden