More Lessons for Calculus

Math Worksheets

A series of free Calculus Video Lessons.

Evaluating a Surface Integral - Basic Example

This video shows one example of evaluating a basic surface integral.

This lecture gently introduces the idea of a "surface integral" and illustrates how to integral functions over surfaces. The idea is a generalization of double integrals in the plane. The concept of surface integral has a number of important applications such as calculating surface area. In addition, surface integrals find use when calculating the mass of a surface like a cone or bowl. A number of examples are presented to illustrate the ideas.

This lecture discusses "surface integrals" of vector fields. In particular, we discover how to integrate vector fields over surfaces in 3D space and "flux" integrals. A few examples are presented to illustrate the ideas. Such concepts have important applications in fluid flow and electromagnetics.

You can use the Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem. Then click "Answer" to check your answer.