Question Number 163469 by Zaynal last updated on 07/Jan/22
Commented by smallEinstein last updated on 07/Jan/22
Answered by amin96 last updated on 07/Jan/22
$$\Omega=−\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{{n}}\int_{\mathrm{0}} ^{\mathrm{1}} {x}^{{n}−\mathrm{1}} {dx}=−\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{{n}^{\mathrm{2}} }=−\zeta\left(\mathrm{2}\right) \\ $$