`int(sin^3theta)/(sqrt(costheta))d theta`

if I=int_(0)^(pi//2)(3sqrt(costheta))/((sqrt(sintheta)+sqrt(costheta))^(5))d theta , then I^(2) is equal to

Integrate the following int(costheta)/sqrt(4-sin^2theta)d theta

int _(0)^(pi//2) (2sqrt(cos theta))/(3(sqrt(sin theta )+ sqrt(cos theta ))) d theta is equal to

The value of the integral int(sqrt(sin theta)+sqrt(cos theta))^(-4)d theta is

int (cos theta - sin theta)/(sqrt(sin 2 theta) ) d theta=

int(sin theta+cos theta)/(sqrt(1+sin2 theta))d theta

int_(0)^( pi)(sin theta+cos theta)/(sqrt(1+sin2 theta))d theta

Integration using rigonometric identities : int ((sin theta+cos theta))/(sqrt(sin2 theta))d theta=.....

int((sin theta+cos theta))/(sqrt(sin 2theta))d theta is equal to