Unit 8 · Applications of Integration

Chapter 8.1

The Average Value of a Function

Averaging infinitely many values sounds impossible — the integral makes it one division.

10–13 min · free · lesson 41 of 46

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By the end

  1. 01Compute the average value of a function on an interval
  2. 02Interpret it as leveling the area
  3. 03Connect it to the Mean Value Theorem for integrals

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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