20. Multiple Integrals in Rectangular Coordinates - Contents

1. Double Integrals over a Non-Rectangular Region

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

2. Applications of Double Integrals

     1   2   3   4   5   6
   1. Volume
   2. Area
   3. Average Value of a Function
   4. Centroid of a Region
   5. Mass
   6. Center of Mass

3. Triple Integrals over a Non-Rectangular Region

     1   2   3
   1. Region Types
   2. Examples
   3. Changing the Order of Integration

4. Applications of Triple Integrals

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

5. Exercises

     1
   1. Exercises