This is how you do it...
Just in case anyone at Penn State is fishing, let me say right up front that while I will talk extensively about integrals and equilibria in this semester's class, the primary subject is all about the importance of conservative forces and maintaining criteria for stability. Ok, I will touch upon violent relaxation, and maybe gravothermal collapse, but only briefly.
Oh, and I like my integrals to be conserved. And I say so, in class.
You want talk about radicals, go see a chemist.