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Calculus III (Practice Problems) / Line Integrals / Line Integrals - Part II   [Notes] [Practice Problems] [Assignment Problems]

Calculus III - Practice Problems
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Line Integrals - Part I Previous Section   Next Section Line Integrals of Vector Fields

 Line Integrals
 Part II

 

For problems 1  7 evaluate the given line integral.  Follow the direction of C as given in the problem statement.

 

1. Evaluate  where C is the portion of  from  to [Solution]

 

2. Evaluate  where C is portion of  from  to . [Solution]

 

3. Evaluate  where C is the line segment from  to . [Solution]

 

4. Evaluate  where C is the right half of the circle of radius 2 with counter clockwise rotation followed by the line segment from  to .  See the sketch below for the direction.

[Solution]

 

5. Evaluate  where C is the line segment from  to  followed by the portion of  from  to  which in turn is followed by the line segment from  to .  See the sketch below for the direction.

[Solution]

 

6.  Evaluate  for each of the following curves.

            (a) C is the portion of the circle of radius 6 in the 1st, 2nd and 3rd quadrant with clockwise rotation.

(b) C is the line segment from  to .

[Solution]

 

7.  Evaluate  for each of the following curves.

            (a) C is the line segment from  to .

(b) C is the line segment from  to .

[Solution]

 

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Line Integrals - Part I Previous Section   Next Section Line Integrals of Vector Fields
Multiple Integrals Previous Chapter   Next Chapter Surface Integrals

Calculus III (Practice Problems) / Line Integrals / Line Integrals - Part II    [Notes] [Practice Problems] [Assignment Problems]

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