Prove that $$\int _1^{\infty }\int _1^{\infty }\left(\frac{\log \left(\frac{(x+1) y}{(y+1)x}\right)}{x-y}\right)^2dydx=\frac{1}{6} \left(\pi ^2 \log (4)-9 \zeta (3)\right)$$
2026-03-26 01:01:19.1774486879
Double integral related to zeta function
216 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in CALCULUS
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