Question Number 91310 by M±th+et+s last updated on 29/Apr/20
$${show}\:{that} \\ $$$$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {cot}\:\left({x}\right)\:{ln}\left({sec}\left({x}\right)\right)\:{dx}=\frac{\pi^{\mathrm{2}} }{\mathrm{24}} \\ $$
show-that-0-pi-2-cot-x-ln-sec-x-dx-pi-2-24-