Unit 8 · Applications of Integration

Chapter 8.4

Volumes from Cross Sections

A loaf of bread is the sum of its slices: stack known cross-sections on a base region and integrate their areas.

11–15 min · free · lesson 44 of 46

By the end

  1. 01Compute volumes with square and rectangular cross sections
  2. 02Compute volumes with triangular and semicircular cross sections
  3. 03Set up the cross-sectional area as the integrand

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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