Evaluate `int_0^(pi/2) \ x/(sin x + cos x) dx`

Evaluate : int_0^(pi/2)(sin^2x)/(sin x+cos x)dx

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

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