pi_(4)^( pi/2)int(cos theta)/([cos theta+sin(theta)/(2)]^(3))d theta

int_(pi//4) ^(pi//2) (cos theta)/((cos (theta/2) + sin (theta/2))^(3))d theta=

int_(pi//4)^(pi//2)(costheta)/((cos\ (theta)/(2)+sin\ (theta)/(2)))\ d theta

Evaluate the following: \int_{(pi)/4}^((pi)/2) frac{cos theta}{[cos (theta/2) + sin (theta/2)]^3} d theta

Show that int_(0)^(pi//2) (cos^(2) theta)/(cos^(2) theta + 4 sin^(2) theta)d theta = (pi)/(6)

Evaluate int _(0)^(pi//2) (cos^(4) theta)/(sin^(4) theta + cos^(4) theta)d theta

Evaluate: \int_{(pi )/4}^(( pi )/2) frac{cos theta }{cos ( theta /2) + sin(theta /2)} d theta

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