Question

integration of xsinx​

Answer 1

Another integration by parts handles the last integral: u = x, dv = cosxdx, du = dx, v = sinx: ∫ xcosxdx = xsinx − ∫ sinxdx = xsinx + cosx , finally giving ∫ x2 sinxdx = −x2 cosx + 2(xsinx +cosx) + C