" Q.5Evaluate "int_(-1)^((3)/(2))|x sin(pi x)|dx

Evaluate : int_(-1)^((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_(-1)^(3//2)|x sin pi x|dx

int_(-1)^(3/2) | x sin (pi x ) | dx =

Evaluate :int_(0)^((pi)/(2))sqrt(1+sin 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 .