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

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

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

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

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

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

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

Evaluate: int_(0)^((pi)/(2))|sin x-cos x|dx

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

Prove that int_(0)^(a) f(x) dx = int_(0)^(a) f(a-x) dx . Hence, evaluate int_(0)^(pi//2) (sin x - cos x)/(1+ sin x cos x) dx.

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