Question Number 125283 by Dwaipayan Shikari last updated on 09/Dec/20
$$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{x}^{\mathrm{2}} {sin}^{\mathrm{2}} \left({log}\left({x}+\mathrm{1}\right)\right)}{\left(\mathrm{1}+\sqrt{\mathrm{1}+{x}}\right)^{\mathrm{2}} }{dx} \\ $$