" 7.Evakate: "int_(0)^(3/2)|xcos pi x|dx

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

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

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

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

int_(0)^( pi/2)sin^2xcos xdx

(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^(2pi)e^xcos(pi/4+x/2)dx

int_(0)^(pi)xcos^(2)xdx