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 ORELA Mathematics: Practice & Study Guide
First Lesson 

Ch 32: ORELA Math: Applications of Integration

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About This Chapter

View the fun, brief videos in this chapter to study integration applications for your ORELA Math exam. We offer support to make certain you get the most out of this chapter- let our instructors know any questions you have about the material.

ORELA Math: Applications of Integration - Chapter Summary

This chapter aims to help you master the integration applications you'll likely find on the ORELA Math certification assessment. As you work through the entertaining video lessons and companion quizzes in this chapter, you will review:

  • Applications in dynamic motion
  • Calculating volumes with single integrals
  • Using integration to find revolution volume

The self-assessment quizzes allow you to practice the techniques presented in this chapter and assess your exam readiness. Use the video transcript in each lesson to locate key information and get additional review.

3 Lessons in Chapter 32: ORELA Math: Applications of Integration
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Integration and Dynamic Motion

1. Integration and Dynamic Motion

This lesson uses driving to demonstrate how graphing can help you use calculus to figure out how fast you were going at a given time. Using this lesson, you can learn how to integrate your velocity to find your position.
How to Calculate Volumes Using Single Integrals

2. How to Calculate Volumes Using Single Integrals

Ever wonder where the equation for the volume of a cone comes from? Or the equation for the volume of a sphere? In this lesson, learn how to use a slicing technique to find the volume of a region by solving a single integral.
How to Find Volumes of Revolution With Integration

3. How to Find Volumes of Revolution With Integration

Some shapes look the same as you rotate them, like the body of a football. In this lesson, learn how to find the volumes of shapes that have symmetry around an axis using the volume of revolution integration technique.
Chapter Practice Exam
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Practice Final Exam
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