Question Number 102195 by Study last updated on 07/Jul/20
$$\int{sinx}\:{d}\left({sinx}\right)=? \\ $$
Answered by Ar Brandon last updated on 07/Jul/20
$$\frac{\mathrm{sin}^{\mathrm{2}} \mathrm{x}}{\mathrm{2}}+\mathcal{C} \\ $$
Commented by Study last updated on 07/Jul/20
$$\:{what}\:{is}\:{the}\:{practice}? \\ $$
Commented by mr W last updated on 07/Jul/20
$${t}=\mathrm{sin}\:{x} \\ $$$$\int{tdt}=\frac{{t}^{\mathrm{2}} }{\mathrm{2}}+{c}=\frac{\mathrm{sin}^{\mathrm{2}} \:{x}}{\mathrm{2}}+{c} \\ $$
Commented by mathmax by abdo last updated on 07/Jul/20
$$\int\:\mathrm{f}\:\mathrm{f}^{'} \mathrm{dx}\:=\frac{\mathrm{1}}{\mathrm{2}}\mathrm{f}^{\mathrm{2}} \:+\mathrm{c} \\ $$
Answered by bemath last updated on 07/Jul/20
$$\frac{\mathrm{1}}{\mathrm{2}}\mathrm{sin}\:^{\mathrm{2}} {x}\:+\:{c} \\ $$