32*int_(0)^( pi/2)(sin^(2)x)/(sin x+cos x)dx

Evaluate (i) int_(0)^(pi/2) (sin^(2)x)/(sin x + cos x ) dx

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

Prove that: int_(0)^( pi/2)(sin x)/(sin x-cos x)dx=(pi)/(4)

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

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

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:

int_(0)^(pi/2)(sin^(2)x*cos x)dx=

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