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.
(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.