Session 77: Triple Integrals in Spherical Coordinates

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Overview

In this session you will:

  • Watch a lecture video clip and read board notes
  • Watch a recitation video
  • Read another set of course notes

Lecture Video

Video Excerpts

» Clip: Triple Integrals in Spherical Coordinates (00:22:00)

From Lecture 26 of 18.02 Multivariable Calculus, Fall 2007

The following images show the chalkboard contents from these video excerpts. Click each image to enlarge.

Chalkboard 1.Chalkboard 2.Chalkboard 3.Chalkboard 4.
Chalkboard 5.Chalkboard 6.Chalkboard 7.

Recitation Video

Average Distance on a Sphere

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Related Readings

Changing Variables in Triple Integrals (PDF)

Examples

Integrals in Spherical Coordinates (PDF)

Problems and Solutions

Problems: Spherical Coordinates (PDF)

Solutions (PDF)

Problems: Jacobian for Spherical Coordinates (PDF)

Solutions (PDF)

 

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