Does every (continuous) function \(f(x)\) have an anti-derivative (a function \(F(x)\) such that \(F'(x) = f(x)\) everywhere)? One of the fundamental theorems of calculus says yes, and even better, it furnishes such anti-derivatives for us: \(F(x) = \int_{2017}^x f(t)\,dt\) works, for example. (What are the units?).