`int_(0)^( pi/2)e^(x)(cos x-sin x)dx=`

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

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

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

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

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

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

int_(0)^(pi//2) e^(x) cos x" " dx=

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

If int_(0)^( pi)e^(sin x)dx=p. Then value of int_(0)^((pi)/(2))x cos xe^(sin x)dx is (A) (pi)/(2)e-p(B)(pi)/(2)e-2p (C) (pi)/(2)e-(p)/(2)(D)p