int_(0)^((pi)/(2))(sin^(2)xdx)/(1+sin x*cos x)

int_(0)^( pi/2)(sin^(2)xdx)/(sin x+cos x)=

If int_(0)^((pi)/(2))(dx)/(1+sin x+cos x)=In2, then the value of int_(0)^((pi)/(2))(sin x)/(1+sin x+cos x)dx is equal to:

Evaluate int_(0)^((pi)/2)(sin^(n)xdx)/(sin^(n)x+cos^(n)x)

int_(0)^( pi/2)sin^(2)x cos xdx

int_(0)^(pi/2)cos^2x sin^2xdx

int_(0)^((pi)/(2))sin^(3)x cos xdx= ?

int_(0)^((pi)/(2))sin^(2)x cos^(3)xdx=

Prove that int_(0)^(pi/4)(sin2xdx)/(sin^(4)x+cos^4 x)=(pi)/(4)

int_(0)^( pi/2)sin x*cos^(3)xdx