Question Number 85167 by mathmax by abdo last updated on 19/Mar/20
$${let}\:\varphi\left({x}\right)=\Gamma\left({x}\right).\Gamma\left(\mathrm{1}−{x}\right)\:\:{find}\:\int_{\frac{\mathrm{1}}{\mathrm{3}}} ^{\frac{\mathrm{1}}{\mathrm{2}}} {ln}\left(\varphi\left({x}\right)\right){dx} \\ $$