Evaluate `int-1 3/2|xsin(pix)|dx`

Evaluate: int_(-1)^(3//2)|xsinpix|dx

Evaluate int_1^3 x^2 dx

Evaluate int xsin^(2)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 sin^(2)xsin2xdx

Evaluate int_(0)^(1//2)(xsin^(-1)x)/(sqrt(1-x^(2)))dx .

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

Evaluate int_-1^1 x^3 (1-x^2)dx

Evaluate: int_0^pix/(1+sinx)dx

Find the value of: int_(-2)^(2)xsin^(4) xdx