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Introduction

We have spent considerable time considering the derivatives of a function and their applications. In the following chapters, we are going to starting thinking in “the other direction.” That is, given a function \(f(x)\text{,}\) we are going to consider functions \(F(x)\) such that \(F'(x) = f(x)\text{.}\) There are numerous reasons this will prove to be useful: these functions will help us compute area, volume, mass, force, pressure, work, and much more.