In Lecture 17, the focus is on double integrals in polar coordinates and their application problems. By following the simple approach of slicing the region radially and then integrating in the order of r first and then theta, the double integral can be computed easily in polar coordinates. The lesson also covers the uses of double integrals, such as finding the area of a region and the average value of a function in a region. The applications of double integrals to determine the mass of a flat object with varying density is also discussed thoroughly.
Learn more about double integrals, how to find them using polar coordinates, and some application problems involving them.
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.