Find :`int_(0)^( pi/2)(sinx dx)/(sin x+cos x)`

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

Prove that : int_(0)^(a) f(x) dx = int_(0)^(a) f(a-x)dx hence evaluate : int_(0)^(pi//2) (sin x)/(sin x + cos x) dx

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

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

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

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

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