Chapter 19: The Anti-derivative or Indefinite Integral

 

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