Ah yes, interesting. So then I get it in the form
4z^3 dz / (4 - z^2)
I see you can simplify the 4 - z^2 to:
(2-z)(2+z), but then I tried to do partial fractions, and that also went nowhere, as there is no existing way to do a partial fraction for that that I could find?
and again I am...