Question Number 163564 by HongKing last updated on 07/Jan/22
$$\mathrm{Find}\:\mathrm{the}\:\mathrm{closed}\:\mathrm{form}\:\mathrm{of}\:\mathrm{a}\:\mathrm{integral}: \\ $$$$\boldsymbol{\Omega}\:\:=\:\underset{\:\frac{\boldsymbol{\pi}}{\mathrm{2}}} {\overset{\:\boldsymbol{\pi}} {\int}}\:\frac{\mathrm{dx}}{\mathrm{e}^{\boldsymbol{\mathrm{x}}} \:+\:\mathrm{ln}\:\left(\mathrm{cos}\boldsymbol{\mathrm{x}}\right)} \\ $$