MA101: Single-Variable Calculus I

7.4: Integration by Substitution

• Whitman College: David Guichard's "Calculus, Chapter 8: Techniques of Integration, Section 8.1: Substitution" URL

  Read Section 8.1 (pages 161-166). This section explains the process of taking the integral of slightly more complicated functions. We do so by implementing a "change of variables," or rewriting a complicated integral in terms of elementary functions that we already know how to integrate. Simply speaking, integration by substitution is merely the act of taking the chain rule in reverse.
  

• Massachusetts Institute of Technology: David Jerison's "Antiderivatives" Page

  Watch this video from 30:00 to the end.
  

• Whitman College: David Guichard's "Calculus, Chapter 8: Techniques of Integration, Exercises 8.1: Problems 5-19" URL

  Work through problems 5-19 for Exercise 8.1. When you are done, check your answers against Appendix A.