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

## Line Integrals MPSetChAttrs('ch0001','ch0',[[5,1,-3,-1,0],[7,1,-4,-1,0],[9,2,-4,-1,0],[],[],[],[22,4,-11,-2,-1]]) MPInlineChar(0) MPNNCalcTopLeft(document.mpch0001ph,'') MPDeleteCode('ch0001')  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]

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

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