Double Integrals in Polar Coordinates

Calculus 3 video that explains double integrals in polar coordinates. We talk about where the polar unit of area "r dr d theta" comes from, and how to find bounds for your integrals based on the region of integration. We work a few different examples, finding volumes of some solids using a double integral in polar coordinates. Includes typical examples seen in a Calculus 3 type course with volumes involving paraboloids and cones. 0:00 Introduction to the polar unit of area 5:16 Example 1 9:32 Example 2 (Volume below a paraboloid) 13:41 Example 3 (Volume between cone & plane) Houston Math Prep Calculus 3 Playlist:    • Calculus 3   Houston Math Prep YouTube:    / houstonmathprep