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

int_(0)^( pi/4)(sin x-cos x)dx

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

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

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

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

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

Evaluate : int_(0)^((pi)/(2)) (x sin x.cosx)/(sin^(4)x+cos^(4)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 - cos x)/(1+ sin x cos x) dx.

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