I'm off again, FYI, that problem I have been working on this week has gone from this:
$$
\left<p\right> = \int{\Psi^*\left[-i\hbar \frac{\partial}{\partial x}\right]\Psi}dx
$$
to this
$$
i\hbar
\left(
\int\limits_{-\infty}^{+\infty}{
\frac{-i\hbar}{2m} \dfrac{\partial^2 \Psi^*}{\partial x^2} \frac{\partial \Psi}{\partial x} + \frac{i}{\hbar}V \Psi^* \frac{\partial \Psi}{\partial x}
}\,\mathrm{d}x
+
\int\limits_{-\infty}^{+\infty}{
\Psi^* \left[
\frac{i \hbar}{2m} \frac{\partial^3 \Psi}{\partial x^3} -