Practice problem
Compute ∫xsinx dx\int x \sin x \, dx∫xsinxdx.
xsinx+cosx+Cx \sin x + \cos x + Cxsinx+cosx+C
xcosx+sinx+Cx \cos x + \sin x + Cxcosx+sinx+C
−xcosx+sinx+C-x\cos x + \sin x + C−xcosx+sinx+C
−xsinx+cosx+C-x\sin x + \cos x + C−xsinx+cosx+C
xsinx−cosx+Cx \sin x - \cos x + Cxsinx−cosx+C
xcosx−sinx+Cx \cos x - \sin x + Cxcosx−sinx+C
Type a concept, like “slope” or “photosynthesis”.