7 INTEGRALS AND VOLUME
In the last chapter, we introduced the basics of computing integrals, along with simple examples that mostly looked at applications like area, which are computed in two dimensions. In this chapter, we move up to looking at integrals to compute the volume of a 3D object. We have already seen that you can use an integral to calculate the area under a curve.
If we would like to check our calculations by measuring the area, there are not very good physical ways to do that. There are a lot of physical ways to measure volume, though. Since an integral can be used to compute the area under a curve, it follows that we can also use them to figure out the volume of a solid. There are several different ways to do that, and we will ...
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