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

Evaluate int_(0)^(pi//2) (cos^2 x)/(1+sin x cos x)dx .

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

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

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

int_(0)^(pi//2)(cos^(4)x)/((sin^(4)x+cos^(4)x))dx=(pi)/(4)

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

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