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Chapter 3 Applications of Integration

Being able to calculate the length of a curve, the area under a curve or between curves, surface areas of 3D objects, or volumes of 3D objects as shown in Figure 3.1 are important concepts in mathematics and will appear in many applications. In this chapter, we will concern ourselves with area and volume computations that use techniques from integral calculus. Length and surface area computations use similar techniques but will not be discussed here.

Figure 3.1.