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

The value of the integral int_(0)^(pi/2)(cos x)/((2+sin x)(4+sin x))dx equals

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

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

int_(0)^(pi//2)(1)/(4cos^(2)x+9sin^(2)x)dx=

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

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

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

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

If int_(0)^((pi)/(2))(dx)/(1+sin x+cos x)=In2, then the value of int_(0)^((pi)/(2))(sin x)/(1+sin x+cos x)dx is equal to: