Evaluate `int_(-1)^(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

(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

Evaluate: int_0^(3//2) |x sin pi x| dx .

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

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

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

Evaluate: int_(-pi//2)^(pi//2)sin^7x dx