Expii

# Differentiating an Integral Function (Half of FTC) - Expii

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?).