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Chapter 17: Areas between Curves. Volumes by Slicing


Definite integrals are areas; they can be used to evaluate other geometric quantities as well.

Here we consider areas between curves,  and volumes of regions obtained by rotating an area about the x or y axis.



17.1 Areas between Curves

17.2 Volume of  an Ellipsoid: the Disk Method

17.3 Volume of a Torus: the Washer Method

17.4 Volume of a Wedge: the Method of Moving Slices