Is Integration by Parts Applicable for X^3/((e^x)-1) from -infinity to infinity?

[silvermane]

Homework Statement

Integrating X^3/((e^x)-1), where we integrate from -infinity to infinity

The Attempt at a Solution

We thought about it, and we're not entirely sure if integration by parts is applicable here. Is there a table with this function perhaps?

 

[Dick]

That integral doesn't converge as x->(-infinity), does it? The denominator is near 1 and the numerator is near x^3. Are you sure about the limits?

 

[SgtSniper90]

it doesn't matter if it converges at -infinity you can just make the upper and lower bounds 0 to infinity and put a coefficient of 2 in front of the integrand

 

[Char. Limit]

it doesn't matter if it converges at -infinity you can just make the upper and lower bounds 0 to infinity and put a coefficient of 2 in front of the integrand

That only works if it's an even function, which this isn't.