Evaluate : `int_0^(3/2)|xsin pi x| dx`

Evaluate: 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

Evaluate : int_0^(pi/2) x sinx dx

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

int_0^(pi/2) sin x dx

Evaluate int_0^(pi/2) sin^7x dx

Evaluate int_0^(pi/2) xcosx dx

Evaluate: int_0^(pi//2)x/(sinx+cosx)dx