int_(0)^( pi/2)sqrt(cos theta)sin^(3)theta d theta=

int_(0)^((pi)/(2))sqrt(costheta)*sin^(3)theta d theta= . . .

Show that int_(0)^(2)sqrt((sin2 theta))sin theta d theta=(pi)/(4)

int(sqrt(cos2 theta))/(sin theta)d theta=

Evaluate the following integrals: int_(0)^( pi/6)cos^(-3)2 theta sin2 theta d theta

\int_{0}^((pi)/2) sqrt sin2 theta sin theta d theta is .........

" The value of the integral "int_(0)^( pi/2)(12sqrt(cos theta))/((sqrt(cos theta)+sqrt(sin theta))^(5))d theta" equals "...