Question

интеграл от p/4 до p/2 sin2xdx

Answer 1

$large int_{piover4}^{piover2}sin{(2x)}mathrm{dx}={1over2}int_{piover4}^{piover2}sin{(2x)}mathrm{d(2x)}=-{cos{(2x)}over2}|_{piover4}^{piover2}=-{cos{pi}over2}+{cos{piover2}over2}={1over2}(cos{piover2}-cos{pi})={1over2}$