" 12."int_(0)^( pi)5(5-4cos theta)^(1/4)sin theta d theta

Evaluate the following integrals by changing the limits of integration after suitable subsitutions: underset(0)overset(pi)int5(5-4cos theta)^(1//4) sin theta d theta

Evaluate int_(0)^(pi//2) cos theta tan ^(-1) ( sin theta)d theta .

Evaluate int_(0)^(pi//2) cos theta tan ^(-1) ( sin theta)d theta .

int_(0)^( pi)sin theta d theta =

int_(0)^(pi)(sin4theta)/(sintheta)d theta=0

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

Evaluate the following : int_(0)^((pi)/(2)) sin^(3) theta cos^(5) theta d theta