Question Number 222019 by Nicholas666 last updated on 15/Jun/25

$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\pi} \:\mathrm{tan}^{−\mathrm{1}} \:\left(\frac{\mathrm{ln}\left(\mathrm{sin}\left({x}\right)\right.}{{x}}\right)\:{dx} \\ $$$$ \\ $$