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

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

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

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

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

Prove that : int_(0)^(pi//2) (sin x-cos x)/(1+sin x cos x)dx=0 " (ii) Prove that " : int_(0)^(pi//2) sin 2x. log (tan-x) dx=0

Prove that : int_(0)^(pi//2) (sin x-cos x)/(1+sin x cos x)dx=0 " (ii) Prove that " : int_(0)^(pi//2) sin 2x. log (tan-x) dx=0

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

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

By using the properties of definite integrals, evaluate the integrals int_(0)^((pi)/(2))(sin x-cos x)/(1+sin x cos x)dx