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In this section we’re going to take a look at some of
applications of integration. It should
be noted as well that these applications are presented here, as opposed to
Calculus I, simply because many of the integrals that arise from these applications
tend to require techniques that we discussed in the previous chapter.
Here is a list of applications that we’ll be taking a look
at in this chapter.
Arc
Length 
We’ll determine the length of a curve in this
section.
Surface Area In this section we’ll determine the surface
area of a solid of revolution.
Center of Mass Here we will determine the center of mass or
centroid of a thin plate.
Hydrostatic Pressure and Force We’ll determine the hydrostatic pressure and
force on a vertical plate submerged in water.
Probability Here we will look at probability density
functions and computing the mean of a probability density function.