Correct me if I'm wrong, there is no reason to numerically integrate this. This is not a differential equation. The integral solution is a simple function that can just be evaluated.
If you say "By the way, there's an exact solution to this, it involves something called Integrals that's usually the focus of at least three semesters of Calculus in college, but you can't really understand it without a few courses in Real Analysis, Differential Equations, and Numerical Methods..." then it seems like you're talking too much about Math instead of Software Engineering. As a result, you lose the audience whose main interest is making games for fun and profit, and don't care about math (or so they think). It's much harder to understand because it's a complete redesign of the integrator that relies on a non-trivial body of theory.