Question

integrate x.sinx.dx​

Answer 1

Answer:

We want to integrate by parts, taking u = x, dv = sinx, du = dx, v = −cosx: ∫ x(sinx)dx = −xcosx + ∫ cosxdx = −xcosx + sinx + C . ∫ exxdx = xex − ∫ exdx = xex − ex + C .