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

Let u=int_(0)^((pi)/(4))((cos x)/(sin x+cos x))^(2)dx and v=int_(0)^((pi)/(4))((sin x+cos x)/(cos x))^(2)dx Find the value of (v)/(u)

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

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

Evaluate: int_(0)^((pi)/(4))(sin x+cos x)/(9+16sin2x)dx

int_(0)^((pi)/(4))(sin x+cos x)/(9+16sin2x)dx

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

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

int_(0)^(pi/4)(sin x+cos x)/(9+16 sin 2x)dx

Evaluate the definite integrals int_(0)^((pi)/(4))(sin x cos x)/(cos^(4)x+sin^(2)x)dx