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

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

I = int_ (1) ^ (2) | x sin pi x | dx

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

Find the value of int_(-1)^(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)(x sin x)/(1-sin x)dx=

int_(0)^( pi)(x sin x)/(1+sin x)dx