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

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

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

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

Evaluate : int_(0)^( pi/2)e^(sin x )*cos xdx

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

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

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

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

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

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