# Lecture 16: Double integrals

Taught by OCW
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Lesson Description:

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.

• What is a double integral?
• How do you find a double integral?
• What does it mean geometrically to find a double integral?
• How do you find the volume below a multivariable function?
• How do you know which order to write dx and dy in double integrals?
• What is an iterated integral?
• How do you set up a double integral?
• What is the double integral of 1 - x^2 - y^2 dydx from 0 to 1 for x and y?
• How do you find the double integral of 1 - x^2 - y^2 dydx over the quarter disc region bounded by x^2 + y^2 = 1 in the first quadrant?
• How do you find the double integral of e^y/y dydx?
• How do you switch a double integral from dydx to dxdy?
• #### Staff Review

• Currently 4.0/5 Stars.
This lesson is an introduction to double integrals of multivariable functions over regions in the plane. The professor explains very clearly the concept of what taking a double integral means, how to set up a double integral, and how to actually compute it. Some actual example problems are shown as well. This is a really good lesson on this topic. Some very difficult and confusing topics are covered.