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Home  /  Calculus: Graphical, Numerical, Algebraic, AP Edition (6e)  /  Chapter 7 · Applications of Definite Integrals
Section 7.3

Volumes

Volumes by cross sections (disks, washers, and known cross-sectional shapes) and volumes by cylindrical shells.

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Chapter 7 · Applications of Definite Integrals
Lesson

Lesson Introducing Finding Volume by Slicing with Parallel Planes

Examples

Examples Finding Volume Using Cross-Sections

Lesson

Lesson: Volume by the Disk Method

Examples

Examples Using the Disk Method Rotated Around an Axis

Examples

Examples of the Disk Method with Rotations Around Lines

Lesson

Lesson on Volume by the Washer Method

Examples

Examples on The Washer Method

Lesson

Lesson on Finding Volume by Cylindrical Shells

Examples

Examples on Volume By Cylindrical Shells and a Piecewise Trig Function

Examples

Examples of Volume Using Cylindrical Shells About 2 Different Lines

Examples

Examples: Finding Volume via Washers vs Shells

Examples

Examples on How to Make Quick Sketches for Volume by Integration

Summary

Summary of Disk vs Washer vs Shell Methods

Examples

Examples on Harder Volumes by Slicing

Examples

Examples on The Disk vs Washer Method Around Different Axes and Lines

Examples

Examples on When To Use Subtraction to Find the Radius for Disk or Washer Method

Examples

Examples on The Shell Method When the Integral Is Split into 2 Parts