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int(0)^( pi/4)(sin x+cos x)/(3+sin2x)dx...

int_(0)^( pi/4)(sin x+cos x)/(3+sin2x)dx

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The value of the integral int_0^(pi/4) (sin x + cos x)/(3 + sin 2x) dx is equal to

Compute the integrals I = int_(0)^(pi//4) (sin x + cos x)/( 3 + sin 2 x) dx

int_0^(pi//4) (sin x + cos x)/(3 + sin 2x ) dx =

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

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

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