Double Integration Example over General Regions --- two ways!

We introduced double integration originally for rectangular regions. Rectangular regions were nice because the limits of integration were all numbers. But what about if we want to calculate the volume under a surface over a more general non-rectangular region? In this video we look a full example of a general region and how we can think about breaking the region up into either little vertical strips or little horizontal strips. That is, we compute the double integration either first integrating with respect to x and then y, or switch the order. While this example worked both ways, in some double integral you will want to change the order of integration because only one of the two ways will be easy to actually compute.


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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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