Copyright

Ch 44: FTCE Math: Integration Applications

About This Chapter

As you study for the FTCE Mathematics exam, use these lessons. They'll help you prepare for exam questions that may require you to use integration to solve problems involving dynamic motion, the area between functions and volume.

FTCE Math: Integration Applications - Chapter Summary

The lessons of this chapter have been assembled to help you improve your understanding of integration in mathematics and the process of completing integration problems. These engaging lesson videos are taught by our expert instructors. They're mobile-device compatible so that you may have an effective and portable way to prepare for questions on the Florida Teacher Certification Examinations (FTCE) Mathematics exam. Topics revolve around:

  • How integration can be used to calculate velocity and position
  • Combining integration with root finding to calculate simple area
  • Using integration to find the area between functions
  • The use of integrals to find the volumes of cones, spheres and other circular shapes

These videos are accompanied by a series of transcripts and quizzes. Use the transcripts to reinforce your retention of the material presented in the videos. Then, after each lesson, take its quiz to discover topics you don't understand. Use the video tags to return to and review the relevant lesson segments.

5 Lessons in Chapter 44: FTCE 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.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Other Chapters

Other chapters within the FTCE Mathematics 6-12 (026): Practice & Study Guide course

Support