# Chapter 5: Applications of Definite Integrals

Difficulty Level:

**At Grade**Created by: CK-12

In this chapter, we will explore some of the many applications of the definite integral by using it to calculate areas between two curves, volumes, length of curves, and several other applications from real life such as calculating the work done by a force, the pressure a liquid exerts on an object, and basic statistical concepts.

Chapter Outline

- 5.1.
## Area Between Two Curves

- 5.2.
## Volumes

- 5.3.
## The Length of a Plane Curve

- 5.4.
## Area of a Surface of Revolution

- 5.5.
## Applications from Physics, Engineering, and Statistics

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This chapter includes applications of the definite integral, such as calculating areas between two curves, volumes, length of curves, and other real-world applications in physics and statistics.

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Date Created:

Feb 23, 2012
Last Modified:

Apr 29, 2014
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