Question Number 138086 by EnterUsername last updated on 10/Apr/21
$$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \mathrm{ln}\left(\frac{\mathrm{ln}^{\mathrm{2}} \left(\mathrm{sin}\theta\right)}{\pi^{\mathrm{2}} +\mathrm{ln}^{\mathrm{2}} \left(\mathrm{sin}\theta\right)}\right)\:\frac{\mathrm{ln}\left(\mathrm{cos}\theta\right)}{\mathrm{tan}\theta}\mathrm{d}\theta \\ $$