Ch 42: Praxis Mathematics: Integrals

About This Chapter

Prepare for the math content knowledge test of the Praxis. These interesting video lessons can help you review calculus-related topics, such as integrals, while the short quizzes can assess your understanding.

Praxis Mathematics: Integrals - Chapter Summary

Studying with our video lessons can help you practice calculating integrals of various types of functions. Prepare for your Praxis Mathematics content knowledge test by revisiting improper and difficult integrals, in addition to integrals of exponential functions, with this study of essential calculus topics. The video lessons are short and informative, making learning or reviewing these concepts simple and easy to retain. This chapter goes over all of the following concepts:

  • Riemann sums
  • Estimating integrals
  • Integrals of exponential functions
  • Trigonometric substitution
  • Integrals of basic shapes
  • Improper integrals
  • Use of integration to determine area between functions
  • Anti-derivatives
  • Use of integration to calculate volume of revolution

Take the short quiz at the end of each lesson to make sure you understand each topic covered. You can also use the quizzes to practice your test-taking techniques and strategies for exam day.

Objectives for Praxis Mathematics: Integrals

The Praxis Mathematics exam assesses your knowledge of math concepts to determine your competency for teaching math at the high school level. The calculus portion of your test comprises about 12% of the exam, with approximately six questions. You'll have two hours to complete the exam. You should plan to demonstrate an understanding of the following topics:

  • Estimating integrals and derivatives
  • Integration methods and standard differentiation
  • Determination of volume, distance and area with integration

8 Lessons in Chapter 42: Praxis Mathematics: Integrals
Test your knowledge with a 30-question chapter practice test
How to Use Riemann Sums to Calculate Integrals

1. How to Use Riemann Sums to Calculate Integrals

As a new property owner, you might relish mowing your lawn. Up and down your property you mow and measure out small sections to find the area of your property. In this lesson, you will discover what a Riemann sum approach is and how to calculate an estimated area using multiple slices.

How to Use Trigonometric Substitution to Solve Integrals

2. How to Use Trigonometric Substitution to Solve Integrals

In this lesson, we use each of the common integration techniques to solve different integrals. It's not always obvious which technique will be the easiest, so being familiar with an arsenal of methods might save you a lot of work!

How to Calculate Integrals of Exponential Functions

3. How to Calculate Integrals of Exponential Functions

Exponential functions are so predictable. It doesn't matter how many times you differentiate e^x, it always stays the same. In this lesson, learn what this means for finding the integrals of such boring functions!

Using Integration By Parts

4. Using Integration By Parts

Your mother may have warned you not to bite off more than you can chew. The same thing is true with integration. In this lesson, learn how integration by parts can help you split a big interval into bite-sized pieces!

How to Solve Integrals Using Substitution

5. How to Solve Integrals Using Substitution

Some integrals are as easy as riding a bike. But more often, integrals can look like deformed bikes from Mars in the year 3000. In this lesson, you will learn how to transform these scary-looking integrals into simpler ones that really are as easy as riding a bike.

Substitution Techniques for Difficult Integrals

6. Substitution Techniques for Difficult Integrals

Up, down. East, West. Opposites are everywhere. In this lesson, learn how you can think of substitution for integration as the opposite of the chain rule of differentiation.

Calculating Integrals of Simple Shapes

7. Calculating Integrals of Simple Shapes

So you can write something called an integral with a weird squiggly line. Now what? In this lesson, calculate first integrals using your knowledge of nothing but geometry.

How to Solve Improper Integrals

8. How to Solve Improper Integrals

What does it mean when an integral has limits at infinity? These integrals are 'improper!' In this lesson, learn how to treat infinity as we study the so-called improper integrals.

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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Other Chapters

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