Applications of Integrals
In this last chapter of this course we will be taking a
look at a couple of applications of integrals. There are many other
applications, however many of them require integration techniques that are
typically taught in Calculus II. We will therefore be focusing on applications
that can be done only with knowledge taught in this course.
Because this chapter is focused on the applications of
integrals it is assumed in all the examples that you are capable of doing the
integrals. There will not be as much detail in the integration process in the
examples in this chapter as there was in the examples in the previous chapter.
Here is a listing of applications covered in this chapter.
Average Function Value - We can use integrals to determine the average value of
a function.
Area Between Two Curves - In this section we�ll take a look at
determining the area between two curves.
Volumes of Solids of Revolution / Method of Rings - This is the first of two sections devoted to find the volume of a solid of revolution. In
this section we look that the method of rings/disks.
Volumes of Solids of Revolution / Method of Cylinders - This
is the second section devoted to finding the volume of a solid of revolution.
Here we will look at the method of cylinders.
More
Volume Problems - In this section we�ll take a look at find the
volume of some solids that are either not solids of revolutions or are not easy
to do as a solid of revolution.
Work
- The final application we will look at is determining the amount of work
required to move an object.
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