On Tue, 17 Oct 2006 17:18:37 -0700 (PDT)
 C Y <[EMAIL PROTECTED]> 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


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