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

Evaluate the following integral: int_(0)^( pi/2)(dx)/(4cos x+2sin x)

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

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

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

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

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

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:

int_(0)^(pi) dx/(3+2sin x + cos x) =

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