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Question Number 91310 by  M±th+et+s last updated on 29/Apr/20
show that  ∫_0 ^(π/2) cot (x) ln(sec(x)) dx=(π^2 /(24))
$${show}\:{that} \\ $$$$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} {cot}\:\left({x}\right)\:{ln}\left({sec}\left({x}\right)\right)\:{dx}=\frac{\pi^{\mathrm{2}} }{\mathrm{24}} \\ $$

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