In this section we’re going to take a look at some of the 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.