20. Multiple Integrals in Rectangular Coordinates - Contents

1. Double Integrals over a Non-Rectangular Region

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   1. Type $x$ and Type $y$ Regions
      1. Derivations
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   2. Double Integrals over a Region which is both Type $x$ and Type $y$
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   3. Reversing the Order of Integration
      1. Summary
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2. Applications of Double Integrals

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   1. Volume
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   2. Area
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   3. Average Value of a Function
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   4. Centroid of a Region
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   5. Mass
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   6. Center of Mass
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3. Triple Integrals over a Non-Rectangular Region

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   1. Region Types
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   2. Examples
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   3. Changing the Order of Integration
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4. Applications of Triple Integrals

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   1. 4-Volume (Optional)
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   2. Volume
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   3. Average Value of a Function
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   4. Centroid of a Region
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   5. Mass
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   6. Center of Mass
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5. Exercises

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   1. Exercises
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