int(sin^(2)theta)/((1+cos theta)^(2))d theta

int_(0)^(pi//2) (sin^(2)theta)/ (1+cos theta)^(2) d theta =

(sin^(2) theta)/(1-cos theta)-(cos^(2) theta)/(1-sin theta)=cos theta-sin theta

Solve int(cos^(3)theta)/(1-sin theta)d theta

int (sin^(2)theta d theta)/((1 + cos theta)^(2))

int _(0) ^(pi) sin ^(2) theta cos theta d theta

int(sin^(6)theta+cos^(6)theta)/(sin^(2)theta cos^(2)theta)d theta=

int (sin theta cos theta) / (cos ^ (2) theta-cos theta-2) d theta

Evaluate int_(0)^(pi) sin^(3) theta(1+2 cos theta)(1+ cos theta)^(2) d theta

The value of the integral int (sin theta.sin2theta(sin^(6)theta+sin^(4)theta+sin^(2)theta) sqrt(2sin^(4) theta+3sin^(2)theta+6))/(1-cos2theta)d theta is : (where c is a constant of integration)