`int_(0)^( pi)|cos x|dx=2`

int_(0)^(2 pi)|cos x|dx

int_(0)^( pi)[cos x]dx

Show that int_(0)^(p+q pi)|cos x|dx=2q+sin p where q in N&-(pi)/(2)

int_(0)^( pi)|cos x|^(3)dx

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

Which of the following are true ?(i)int_(a)^( pi-a)xf(sin x)dx=(pi)/(2)int_(a)^( pi-a)f(sin x)dx( ii) int_(-a)^(a)f(x^(2))dx=2int_(0)^(a)f(x^(2))dx( iii) int_(0)^(n pi)f(cos^(2)x)dx=n int_(0)^( pi)f(cos x)dx,n in N (iv) int_(0)^(b-c)f(x+c)dx=int_(c)^(b)f(x)dx

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