]> Chapter 19: The Anti-derivative or Indefinite Integral

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