Finding Area Using Double Integrals (Rectangular & General Regions)

Calculus 3 video that explains using double integrals over rectangular regions and double integrals over general regions to find area. We show you how to use a double integral to find the area of a region in the plane, walking you through examples over both rectangular regions and general regions. The examples will show you how to set up the bounds for your integrals, and how to choose which order of integration is better, based on the shape of the region. We explain several examples of multiple integrals that you might find at the beginning of these topics in a Calculus 3 course.
0:00 Introduction to the method
3:22 Example 1 (Rectangular region)
8:06 Example 2 (General region)
14:27 Example 3 (General region)
19:39 Example 4 (Choosing order of integration)
23:22 Example 5 (Choosing order of integration)
26:33 Example 6 (Choosing order of integration)
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