int_(0)^(7/1)(sin^(2)x)/(sin x+cos x)dx=

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

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

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:

(i) int_(0)^(pi//2)(sin^(7)x)/((sin^(7)x+cos^(7)x))dx=(pi)/(4) (ii) int_(0)^(pi//2)(sin^(5)xdx)/((sin^(5)x+cos^(5)x))dx=(pi)/(4)

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

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

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

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

int_(0)^((pi)/(2)) ( sin x - cos x )/( 1+ sin x cos x ) dx = ".............."

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