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| Math Central | Quandaries & Queries |
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Question from sujoy, a student: please find this integral for me int(x^2*exp(x)/(exp(x)-1)^2 |
Sujoy,
Are you sure this is the integral you want?
It is, to put it mildly, not an easy one; MAPLE gives the answer only in terms of the polylog function (and I think it's right.)
See: http://en.wikipedia.org/wiki/Polylogarithm
For the record, MAPLE's answer is
-x2/(exp(x)-1)-x2+2*x*ln(1-exp(x))+2*polylog(2,exp(x))+C
Are you in a course where an answer of this sort is plausible?
Good Hunting!
RD
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