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An integral that seems to come up a lot in stat mech is
[tex]
\int_0^{\infty}\frac{dx x^2}{e^x - 1} = 2\zeta(3)
[/tex]
Does anyone know how to prove this?
[tex]
\int_0^{\infty}\frac{dx x^2}{e^x - 1} = 2\zeta(3)
[/tex]
Does anyone know how to prove this?