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Double Integrals, Volume Calculations, and the Gauss-Green Formula

VC 2.05. Double Integrals, Volume Calculations, and the Gauss-Green Formula. Example 1: A Double Integral Over a Rectangular Region. Example 2 : Changing the Order of Integration. Computing Double Integrals Over a Rectangular Region.

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Double Integrals, Volume Calculations, and the Gauss-Green Formula

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  1. VC 2.05 Double Integrals, Volume Calculations, and the Gauss-Green Formula

  2. Example 1: A Double Integral Over a Rectangular Region

  3. Example 2: Changing the Order of Integration

  4. Computing Double Integrals Over a Rectangular Region

  5. Example 3: Computing Another Double Integral Over a Rectangular Region

  6. Example 4: A Double Integral Over a Non-Rectangular Region

  7. Example 4: A Double Integral Over a Non-Rectangular Region

  8. Example 5: Change the Order of Integration

  9. Example 5: Change the Order of Integration

  10. Summary of Example 4 & 5

  11. Computing Double Integrals Over a Non-Rectangular Region

  12. Example 6: Using the Double Integral to Find the Area of a Region

  13. The Gauss-Green Formula

  14. Process for Using Gauss-Green to Compute Integrals

  15. Proof of Gauss-Green Theorem

  16. Proof of Gauss-Green Theorem

  17. Proof of Gauss-Green Theorem

  18. Proof of Gauss-Green Theorem

  19. When Should I Use What??

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