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In the low temp. limit of Debye law for specific heat, we encounter the following integral:

∫(x^{4}e^{x})/(e^{x}-1)^{2}dx, from 0 to ∞.

The result is 4∏^{2}/15.

I have searched and found this to be related to zeta function but zeta functions do not have e^{x}in the numerator so I am unable to evaluate the integral using them.

Any help?

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# Zeta function for Debye Low Temp. Limit

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