# Chapter 19: The Anti-derivative or Indefinite Integral

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## Introduction

Finding an anti-derivative is finding a function that has a given derivative over a range of values. Classes of derivatives for which this can be done are described along with some methods for finding anti-derivatives.

## Topics

19.1 Introduction

19.2 Non-uniqueness of Anti-derivatives

19.3 Anti-derivatives by Inspection and Classes of Functions that we can Anti-differentiate

19.4 Substitution

19.5 Integration by Parts

19.6 Differentiation with Respect to a Parameter

19.7 Partial Fraction Decomposition