`int(sin x cos x)/(1+sin x+cos x)`

int(sin x+cos x)/(sin x-cos x)dx

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

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

int(cos 2x)/(1+sin x cos x)dx

int(sin x+x cos x)/(x sin x)dx

int_(0)^(pi//2) ""(sin x - cos x)/( 1-sin x * cos x) dx is equal to

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

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