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Home  /  Calculus: Single and Multivariable (8e)  /  Chapter 8 · Using the Definite Integral
Section 8.2

Applications to Geometry

Volumes of revolution by disks/washers and shells; arc length; surface area of revolution.

16 lessons. Pick what you need.

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Chapter 8 · Using the Definite Integral
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 on The Shell Method When the Integral Is Split into 2 Parts

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

Lesson

Lesson Introducing Using Integration for Arc Length and How the Formula is Derived

Lesson

Lesson on Arc Length with Discontinuous dy/dx

Lesson

Lesson on Areas of Surfaces of Revolution

Examples

Examples on Areas of Surfaces of Revolution