Question Number 95690 by mathmax by abdo last updated on 27/May/20
$$\mathrm{calculate}\:\mathrm{I}\:=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\mathrm{cos}^{\mathrm{3}} \left(\mathrm{x}\right)\mathrm{sh}^{\mathrm{2}} \left(\mathrm{x}\right)\mathrm{dx}\:\mathrm{and}\:\mathrm{J}\:=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{3}}} \:\mathrm{sin}^{\mathrm{3}} \mathrm{x}\:\mathrm{ch}^{\mathrm{2}} \mathrm{x} \\ $$