Question Number 223076 by Nicholas666 last updated on 14/Jul/25
$$ \\ $$$$\:\:\:\:\:\:\:\mathrm{Evaluate}\::\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\mathrm{ln}^{\mathrm{3}} \left(\mathrm{1}−{x}\right)\:\mathrm{ln}^{\mathrm{2}} \left({x}+\mathrm{1}\right)\:\mathrm{d}{x}\:\:\:\:\:\:\:\:\: \\ $$$$ \\ $$