In this lesson, you will learn about double integrals and their applications in calculus. Double integrals are used to calculate the volume below a surface in space over a specific region. The process involves cutting the region into small pieces and summing the volumes of each small box that sits under the graph, eventually taking the limit as the size of the pieces tends to zero. The integration is done iteratively, either with x or y being integrated first, and then the other variable. The lesson includes a worked example of integrating a function over a square region in the x-y plane.
Learn how to compute double integrals and what they are used for in Calculus.
Denis Auroux. 18.02 Multivariable Calculus, Fall 2007. (Massachusetts Institute of Technology: MIT OpenCourseWare). http://ocw.mit.edu (Accessed March 21, 2009). License: Creative Commons Attribution-Noncommercial-Share Alike.