Henri . Cohen on Fri, 16 Mar 2018 17:57:16 +0100 |
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Re: Integration Methods in PARI |
Quoting kevin lucas <lucaskevin296@gmail.com>:
I have been trying to evaluate the following integral in PARI: intnum(x=0, +oo, x*exp(cos(x))*sin(sin(x))/(x^2-1))
As Bill says, the error is due to the fact that your integral diverges at x=1. But even once this is repaired, Pari is unable to integrate an oscillating function of this type; in fact I would be surprised if any software could do it. And Bill's suggestion of finding the Fourier expansion will very probably not work.