Section 1 Goals
After completing your work on this section, you should be able to:
- Explain what the line integral of a vector field over a curve measures.
- Determine the sign of a line integral of a vector field geometrically.
- Calculate the exact value of a line integral of a vector field algebraically.
- Recognize that a line integral of a vector field depends upon the orientation of a curve and adjust the sign of an integral accordingly when a parameterization gives the wrong orientation.
- Recognize that a line integral of a vector field is independent of parameterization provided the orientation is correct.