Main points:

• This section is a review of applications of the double integral such as calculating net volume and area in the plane.
• By this stage you should be comfortable with using a double integral to calculate the net volume below a surface.
• You should know how to find the area of a general region in the plane.

When the regions are more diffcult, it is a good idea to draw two diagrams - the 3-D diagram with the $x$-$y$-$z$ axes and the 2-D one of the region in the $x$-$y$ plane.

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