" 5."int_(0)^( pi/2)(sin x)/(sin x+cos x)dx=?

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

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

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)/(1+cos x)dx

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

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

int_(0)(pi//2) ( x dx)/(Sin x + Cos x)=

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

Prove that int_(0)^(pi//2) (sin x -cos x)/(1+sin x cos x)dx = 0 .