" 7.(i) Prove that "int_(0)^( pi/2)(sin x-cos x)/(1+sin x cos 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

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)(a sin x + b cos 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)(200 sin x + 100 cos x)/(sin x + cos x) dx =

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

int_(0)^(pi//2) (16sin x. cos x)/(sin^(4) x + cos^(4)x)dx=