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Calculus III (Practice Problems) / Line Integrals / Green's Theorem   [Notes] [Practice Problems] [Assignment Problems]

Calculus III - Practice Problems
Multiple Integrals Previous Chapter   Next Chapter Surface Integrals
Conservative Vector Fields Previous Section   Next Section Curl and Divergence

 

1. Use Green’s Theorem to evaluate  where C is shown below.

[Solution]

 

2. Use Green’s Theorem to evaluate  where C is shown below.

[Solution]

 

3. Use Green’s Theorem to evaluate  where C is shown below.

[Solution]

 

4. Use Green’s Theorem to evaluate  where C is shown below.

[Solution]

 

5. Verify Green’s Theorem for  where C is shown below by (a) computing the line integral directly and (b) using Green’s Theorem to compute the line integral.  

[Solution]

 

Problem Pane
Conservative Vector Fields Previous Section   Next Section Curl and Divergence
Multiple Integrals Previous Chapter   Next Chapter Surface Integrals

Calculus III (Practice Problems) / Line Integrals / Green's Theorem    [Notes] [Practice Problems] [Assignment Problems]

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