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

Evaluate the following integral: int_0^(pi//2)(sin^2x)/((1+cos x)^2)dx

3. int_(0)^( pi/2)( sin2 x)/(1+cos^(2)x)dx

If A = int_(0)^((pi)/(2))(sin^(3)x)/(1+cos^(2)s)dx and B=int_(0)^((pi)/(2))(cos^(2)x)/(1+sin^(2)x)dx , then (2A)/(B) is equal to

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

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

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

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

(i) int_0^pi (sin^2 x/2- cos^2 x/2) dx (ii) int_0^(pi//2) (sin^2x)/(1+cosx)^2 dx

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