Evaluate `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)e^(x)(sin x- cos x)dx

int_(0)^(pi) dx/(3+2sin x + cos x) =

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)1/(4sin^2x+5cos^2x)dx

int_0^(pi/2) sin^4x/(sin^4x+cos^4x) dx=

Evaluate: int_0^(pi/2) (sin2x)/(sin^4x+cos^4x)dx

Evaluate: int_0^(pi//2)(xsinx cos\ x)/(sin^4x+cos^4x)dx

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