int(d(cos theta))/(sqrt(1-cos^(2)theta))" is "

Evalute the following integrals int (sin theta)/(sqrt(2 - cos^(2) theta)) d theta

int_(0)^(pi//2) (cos theta)/(sqrt(4-sin^(2)theta))d theta is equal to

int(x)/(sqrt(1-x))dx=int(sin^(2)theta)/(sqrt(1-sin^(2)theta))*2sin theta cos theta d theta

int _(0) ^( pi //2) (cos theta )/( sqrt ( 4 - sin ^(2) theta)) d theta is equal to :

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

int(sin^(3)theta)/(sqrt(cos theta))d theta

Solve int((sin theta+sqrt(cos^(2)theta+2sin^(2)theta))^(n))/(sqrt(1+sin^(2)theta))cos theta d theta , where n ne -1 .