" a affort: "int_(0)^(3/2)|x sin pi x|dx

Evaluate int_(0)^((3)/(2))|x sin pi x|dx

Evaluate :int_(0)^((3)/(2))|x sin pi x|dx

(i) Show that int_(0)^(pi)xf(sinx)dx =(pi)/(2)int_(0)^(pi)f (sin x)dx. (ii) Find the value of int_(-1)^(3//2)|x sin pix|dx .

Evaluate: int_0^(3//2) |x sin pi x| dx .

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

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

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

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

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