Question Number 65194 by mathmax by abdo last updated on 26/Jul/19
$${calculate}\:\int_{\mathrm{0}} ^{\mathrm{1}} {ln}\left(\Gamma\left({x}\right)\right){dx}\:{with}\:\Gamma\left({x}\right)\:=\int_{\mathrm{0}} ^{\infty} \:{t}^{{x}−\mathrm{1}} \:{e}^{−{t}} \:{dt}\:\:{and}\:{x}>\mathrm{0} \\ $$