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

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

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

[int_(0)^( pi/2)cos x*e^(sin x)dx=.........],[[" (A) "e+1," (B) "e-1," (C) "e," (D) "-e]]

The value of int_(0)^(2 pi)|cos x-sin x|dx is

int_(0)^( pi)cos2x*log(sin x)dx

The value of int_(0)^(2pi) |cos x -sin x|dx is

int_(0)^(pi//2)(cos x)/((1+sin x)^(3))dx=

Suppose _((pi)/(2))cos(pi sin^(2)x)dx and I_(2)int_(0)^(3)cos(2 pi sin^(2)x)dx and I_(3)=int_(0)^((pi)/(2))cos(pi sin x)dx, then