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

Evaluate the following integrals (iii) int_(0)^(pi/4) (1+ sin 2 x)/(cos x + sin x) dx

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

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

int_(0)^( pi/2)((sin x cos x) /(1+sin 4x ))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//4) (sin x +cos x)/(3+sin2x)dx is equal to

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

Find the value of int_(pi/4)^(pi/3) (sin2x)/(1-cos2x) dx