Question Number 178657 by mnjuly1970 last updated on 19/Oct/22
$$ \\ $$$$\:\:\:\:\:\:{calculate} \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\mathrm{I}=\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{4}}} \frac{\:\:\mathrm{sin}\left(\mathrm{x}\right)}{\mathrm{1}+\:\mathrm{tan}\left(\mathrm{2x}\right)}\:\mathrm{dx}\:=\:? \\ $$$$\: \\ $$