Question Number 163490 by Zaynal last updated on 07/Jan/22
$$\int_{\mathrm{0}} ^{\infty} \:\frac{\boldsymbol{{x}}^{\mathrm{3}} }{\boldsymbol{{e}}^{\boldsymbol{{x}}} \:−\mathrm{1}}\:\boldsymbol{{dx}} \\ $$
Answered by mnjuly1970 last updated on 07/Jan/22
$$\:\:\:\:\Gamma\:\left(\mathrm{4}\right).\zeta\:\left(\mathrm{4}\right)=\:\frac{\pi^{\:\mathrm{4}} }{\mathrm{15}} \\ $$