Unit 8 · Applications of Integration

Chapter 8.2

Integrals in Context: Motion and Accumulation

Unit 4 asked how fast; the integral answers how far — displacement versus distance, and any quantity that accumulates.

12–16 min · free · lesson 42 of 46

By the end

  1. 01Recover position, displacement, and total distance from velocity
  2. 02Interpret definite integrals of rates in applied contexts
  3. 03Use the net change theorem with initial conditions

In unit 8

  1. 8.1The Average Value of a Function10–13
  2. 8.2Integrals in Context: Motion and Accumulation12–16
  3. 8.3Area Between Curves12–16
  4. 8.4Volumes from Cross Sections11–15
  5. 8.5Volumes of Revolution: Discs11–15
  6. 8.6Volumes of Revolution: Washers11–15
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