2
$\begingroup$

This question already has an answer here:

How to Find $$\zeta(4)=\sum_ {k=1}^{\infty}{\frac{1}{k^4}}$$ the most basic way possible?

I know it's $\pi^4/90$ but to arrive at this figure? Curious, because I need it to solve the integral $\int_{0}^{\infty}x^3\cdot(e^x-1)^{-1}\;dx$.

$\endgroup$

marked as duplicate by MathOverview, TMM, Potato, Andrew, Michael Albanese Jan 7 '14 at 12:25

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.