सिद्ध कीजिए कि `:`
`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

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

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

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

Find the value of int_(-1)^(2)|x sin pi x|dx

Evaluate int_(-1)^((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 .

int_(-pi)^(pi) x sin x dx = _______.