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

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

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

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

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

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

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