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.
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.
6. Evaluate for each of the following curves.
(a) C is the portion of the circle of radius 6 in the 1^{st}, 2^{nd} and 3^{rd} quadrant with clockwise rotation.
(b) C is the line segment from to .
7. Evaluate for each of the following curves.
(a) C is the line segment from to .