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While Cartesian coordinates are great and all, some regions and some integrands are way nicer when described using polar coordinates. In this video we play around with polar coordinates, derive the formula for double integration in polar coordinates, and see an example. The derivation is much like it was in Cartesian coordinates - a limit of a sum of little volumes - but the geometry of the little volumes change in polar coordinates as they no longer have rectangular bases.
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This video was created by Dr. Trefor Bazett. I'm an Assistant Teaching Professor at the University of Victoria.
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