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  • $\begingroup$ This doesn't seem to work with integrals $\endgroup$ Commented Sep 15, 2014 at 15:48
  • $\begingroup$ If I surround all of this with Integrate[...,u], it works for me. You should really be asking this on Mathematica.se $\endgroup$ Commented Sep 15, 2014 at 16:05
  • $\begingroup$ I don't understand your example? It just shows x^2 and arccos(u) etc? Can you use a simpler example? $\endgroup$ Commented Sep 15, 2014 at 16:08
  • $\begingroup$ How much simpler could it be? If you want to compute $\int x^2\,dx$ using the substitution $u = \cos x$ (I realize you wouldn't do this), write in Mathematica Integrate[ReleaseHold[x^2 HoldForm[D[x,u]]/.x->ArcCos[u]],u] and then resubstitute for $u$. $\endgroup$ Commented Sep 15, 2014 at 16:16
  • $\begingroup$ Well, I don't see why you can't adapt what I did to that case, using w-x->u. $\endgroup$ Commented Sep 15, 2014 at 16:21