MA101: Single-Variable Calculus I

7.1: Motivation

• Whitman College: David Guichard's "Calculus, Chapter 7: Integration, Section 7.1: Two Examples" URL

  Read Section 7.1 (pages 145-149). This reading motivates the integral through two examples. The first addresses the question of how to determine the distance traveled based only on information about velocity. The second addresses the question of how to determine the area under the graph of a function. Surprisingly, these two questions are closely related to each other and to the derivative.
  

• Massachusetts Institute of Technology: David Jerison's "Lecture 18: Definite Integrals" Page

  Watch this video.
  

• Whitman College: David Guichard's "Calculus, Chapter 7: Integration, Exercises 7.1: Problems 1-8" URL

  Work through problems 1-8 for Exercise 7.1. When you are done, check your answers against Appendix A.