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

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

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

If int_(0)^(pi/2) f ( sin2 x ) sin x dx = A int_(0)^(pi/4) f ( cos 2 x ) cos x dx then the value of A is ( sqrt2 = 1.41)

int_(0)^(pi//2) (Cos x)/(1+Sin x) dx=

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

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