Applications of Line Integrals

A series of free Calculus Video Lessons.
Applications of line integrals: calculating work, flux in the plane over curves and circulation around curves in the plane.

Vector Calculus - Applications of Line Integrals
This lecture discusses the applications of line integrals, including calculating work; flux (flow) in the plane over curves; and also circulation around curves in the plane. A number of examples are presented to illustrate the theory.

Line Integral Example 1
Concrete example using a line integral

Line Integral Example 2 (part 1)

Line Integral Example 2 (part 2)
Part 2 of an example of taking a line integral over a closed path

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.