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Ch 65: MTEL Math: Integration Applications

About This Chapter

As part of your studies for the MTEL Mathematics exam, these lessons will help you prepare for questions about finding properties of dynamic motion, the area between functions, and the use of integrals to calculate volume.

MTEL Math: Integration Applications - Chapter Summary

These lessons feature our professional instructors who will help you prepare for MTEL Math exam questions about integration applications. In them, they will explain some of the mathematical problems that use integration applications and show you how to solve those problems. Watch these lesson videos to improve your skills in:

  • Solving problems about dynamic motion using integration
  • Using integration and root finding to calculate simple areas
  • Finding the area between functions using integration
  • Calculating volume using a single integral
  • Finding volumes of revolution with integration

To reinforce your retention of the information presented in these lessons, read the lesson transcripts, and then take the quizzes to explore topics you don't understand. If you find a topic that confuses you, be sure to ask our professional instructors for assistance via the teacher tabs. This can help to clarify any confusion you may have about integration applications before you take the Massachusetts Test for Educator Licensure (MTEL) Mathematics exam.

MTEL Math: Integration Applications Chapter Objectives

The MTEL Mathematics exam is a computer-based certification exam composed of 100 multiple-choice questions and two open-response assignments. The passing score on this exam is exam is a 240. To score well on this exam you will need to be able to accurately answer the questions of this exam in a four-hour testing session. When studying for this exam, keep in mind that 16% of the test's weight will include multiple-choice questions about trigonometry, calculus and discrete mathematics, and the test will include some questions about integration applications.

5 Lessons in Chapter 65: MTEL Math: Integration Applications
Test your knowledge with a 30-question chapter practice test
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 Find Simple Areas With Root Finding and Integration

2. How to Find Simple Areas With Root Finding and Integration

Combine your calculus tools in this lesson! Find the area enclosed by multiple arbitrary functions by first finding the root of an equation and then integrating over the resulting range.

How to Find Area Between Functions With Integration

3. How to Find Area Between Functions With Integration

Sometimes you aren't looking for the area under the curve; after all, not every region is between a curve and axis! In this lesson, learn how to find areas between curves as well as areas with complicated boundaries.

How to Calculate Volumes Using Single Integrals

4. 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

5. 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
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the MTEL Mathematics (09): Practice & Study Guide course

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