Using a Double Integral to Find the Average Value of a Function z=f(x,y) Over a Region

In order to find the average value of a function z=f(x,y) over a region in the x-y plane we need to perform the double integral of the function with respect to both x and y over the region to find the volume under the function surface. We then divide this value found by the area of the region in question to get the average value of the function over the region.
Questions like this are great practice for those learning double integrals and, to that end, in this video we find the volume under the function surface both by integrating with respect to first x then y and then vice versa - of course the answer is the same either way but practice makes perfect, especially with regards to changing the limits of integration.
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For more videos on double integrals check out our playlist 'Double Integrals' at th-cam.com/play/PLlX3COjsHPVBR8jfGPHbe5iYOek6U9drw.html

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