In this part we will learn to compute triple integrals over regions in space. We will learn to do this in three natural coordinate systems: rectangular, cylindrical and spherical.
» Session 74: Triple Integrals: Rectangular and Cylindrical Coordinates
» Session 75: Applications and Examples
» Session 76: Spherical Coordinates
» Session 77: Triple Integrals in Spherical Coordinates
» Session 78: Applications: Gravitational Attraction
» Problem Set 10
In this session you will:
Problem Set 10 (PDF)
Problem Set 10 Solutions (PDF)
Supplemental Problems referenced in this problem set (PDF)
Solutions to Supplemental Problems referenced in this problem set (PDF)
In this session you will:
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Limits in Triple Integrals (PDF)
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In this session you will:
Clip: Applications and Examples
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In this session you will:
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Limits in Spherical Coordinates (PDF)
In this session you will:
Clip: Triple Integrals in Spherical Coordinates
The following images show the chalkboard contents from these video excerpts. Click each image to enlarge.
Changing Variables in Triple Integrals (PDF)
Integrals in Spherical Coordinates (PDF)
Problems: Spherical Coordinates (PDF)
In this session you will:
Clip: Gravitational Attraction
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Gravitational Attraction (PDF)
