Question Number 60675 by perlman last updated on 24/May/19
$$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {ln}\left[\frac{{ln}^{\mathrm{2}} \left({sin}\left({x}\right)\right)}{\pi^{\mathrm{2}} +{ln}^{\mathrm{2}} \left({sinx}\right)}\right]\frac{{ln}\left({cos}\left({x}\right)\right)}{{tan}\left({x}\right)}{dx} \\ $$