Ch 47: MTTC Math (Secondary): Integration Applications

About This Chapter

As you get ready for the MTTC Math (Secondary) examination, take the time to focus on integration applications. Through this chapter's online video lessons and quizzes, you could prepare to answer relevant examination questions.

MTTC Math (Secondary): Integration Applications - Chapter Summary

You'll recall how to calculate integrals, find the volume of a cone and calculate the area of a slice when you watch the brief video lessons in this chapter. The integration applications lessons also illustrate the slicing, disk and washer methods, and they remind you of how to estimate the volume of a cone. The concepts you re-discover can be applied when you take the MTTC Math (Secondary) examination. These online videos could help you with:

  • Explaining dynamic motion
  • Calculating integrals and finding simple areas
  • Locating the area between functions
  • Using single integrals to determine volume
  • Calculating volumes of revolution

Watch the self-paced videos as often as necessary to ensure your understanding of integration applications. Then, express your grasp of the concepts when you sit for the MTTC Math (Secondary) examination. You'll have access to text transcripts as well as video tags that make it easier to find information. Self-assessment quizzes can also enhance your learning experience.

MTTC Math (Secondary): Integration Applications Objectives

The information you glean from this chapter can be put to use when you reach the 'Patterns, Algebraic Relationships and Functions' sub-area of the MTTC Math (Secondary) examination. The sub-area accounts for 28% of the overall examination.

There are 80 multiple-choice questions on the examination, which may be taken on paper or by computer. You must finish the paper version in under four hours and 30 minutes. If you select the computer-administered version, you'll be given up to two hours and 30 minutes to complete the questions.

5 Lessons in Chapter 47: MTTC Math (Secondary): 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.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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