Evaluate ∫xsin(x) dx\int x\sin(x)\,dx∫xsin(x)dx.
sinx−xcosx+C\sin x - x\cos x + Csinx−xcosx+C
−sinx+xcosx+C-\sin x + x\cos x + C−sinx+xcosx+C
−xsinx+cosx+C-x\sin x + \cos x + C−xsinx+cosx+C
xsinx−cosx+Cx\sin x - \cos x + Cxsinx−cosx+C