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

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

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

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

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

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

int_(0)^( pi/2)((sin x cos x) /(1+sin 4x ))dx

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

int_(0)^( pi/4)(1+sin2x)/(cos x+sin x)dx

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