MA101: Single-Variable Calculus I

7.3: Some Properties of Integrals

• Whitman College: David Guichard's "Calculus, Chapter 7: Integration, Section 7.3: Some Properties of Integrals" URL

  Read Section 7.3 (pages 156-160). In particular, note that the definite integral enjoys the same linearity properties that the derivative does, in addition to some others. In the applications with velocity functions, pay particular attention to the distinction between distance traveled and net distance traveled.
  

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

  Watch this video until 30:00.
  

• Whitman College: David Guichard's "Calculus, Chapter 7: Integration, Exercises 7.3: Problems 1-6" URL

  Work through problems 1-6 for Exercises 7.3. When you are done, check your answers against Appendix A.