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

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

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

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

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

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

Evaluate :int_(0)^((pi)/(2))(a sin x+b cos x)/(sin((pi)/(4)+x))dx

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