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Re: [Axiom-developer] One more integral to add to the tests, if not alre
From: |
William Sit |
Subject: |
Re: [Axiom-developer] One more integral to add to the tests, if not already there |
Date: |
Tue, 17 Oct 2006 23:16:21 -0400 |
On Tue, 17 Oct 2006 17:18:37 -0700 (PDT)
C Y <address@hidden> wrote:
integrate(%e^cos(x)*cos(x-sin(x)),x = 0..2*%pi)
Apparently this can be solved by Mathematica in it's
upcoming version.
We currently get "failed."
Cheers,
CY
Apparently, Mathematica got this wrong in Version 5.2:
In[1]:=
Integrate[Exp[Cos[x]] Cos[x-Sin[x]], {x,0,2 Pi}]
Out[1]=
0
But a look at the graph of the integrand shows this is
clearly wrong. Indeed,
In[3]:=
NIntegrate[Exp[Cos[x]] Cos[x-Sin[x]], {x,0,2 Pi}]
Out[3]=
6.28319
which looks like the exact answer is 2 Pi.
William