Paul's Online Math Notes
Calculus III (Assignment Problems) / Line Integrals / Line Integrals - Part II   [Notes] [Practice Problems] [Assignment Problems]

Calculus III - Assignment Problems
Multiple Integrals Previous Chapter   Next Chapter Surface Integrals
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 line segment from  to

 

2. Evaluate  where C is portion of  from  to .

 

3. Evaluate  where C is portion of the circle centered at the origin of radius 3 in the 2nd quadrant with clockwise rotation.  

 

4. Evaluate  where C is given by  with .

 

5. Evaluate  where C is the line segment from  to .

 

6. Evaluate  where C is given by  with .

 

7. Evaluate  where C is the portion of  from  to  followed by the line segment from  to .  See the sketch below for the direction.

 

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

 

9.  Evaluate  for each of the following curves.

            (a) C is the portion of  from  to  .

(b) C is the line segment from  to .

 

10.  Evaluate  for each of the following curves.

            (a) C is the portion of  from  to  .

(b) C is the line segment from  to  followed by the line segment from  to .

 

11. Evaluate  for each of the following curves.

            (a) C is the portion of the circle centered at the origin of radius 7 in the 1st quadrant with counter clockwise rotation.

(b) C is the portion of the circle centered at the origin of radius 7 in the 1st quadrant with clockwise rotation.

 

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

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

© 2003 - 2017 Paul Dawkins