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Find-0-2-xcot-x-log-cos-x-dx-




Question Number 162993 by HongKing last updated on 02/Jan/22
Find:  𝛀 =∫_( 0) ^( (𝛑/2))  xcot(x)log(cos(x))dx
$$\mathrm{Find}: \\ $$$$\boldsymbol{\Omega}\:=\underset{\:\mathrm{0}} {\overset{\:\frac{\boldsymbol{\pi}}{\mathrm{2}}} {\int}}\:\mathrm{xcot}\left(\mathrm{x}\right)\mathrm{log}\left(\mathrm{cos}\left(\mathrm{x}\right)\right)\mathrm{dx} \\ $$

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