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Ch 8: Integrals in Business Calculus

About This Chapter

The Integrals in Business Calculus chapter of this Business Calculus Help and Review course is the simplest way to master integrals. This chapter uses simple and fun videos that are about five minutes long, plus lesson quizzes and a chapter exam to ensure you learn the essentials of integrals in business calculus.

Who's It For:

Anyone who needs help learning or mastering integrals material will benefit from the lessons in this chapter. There is no faster or easier way to learn integrals in business calculus. Among those who would benefit are:

  • Students who have fallen behind in understanding integrals in business calculus
  • Students who struggle with learning disabilities or learning differences, including autism and ADHD
  • Students who prefer multiple ways of learning business (visual or auditory)
  • Students who have missed class time and need to catch up
  • Students who need an efficient way to learn about integrals in business calculus
  • Students who struggle to understand their teachers
  • Students who attend schools without extra business learning resources

How It Works:

  • Find videos in our course that cover what you need to learn or review.
  • Press play and watch the video lesson.
  • Refer to the video transcripts to reinforce your learning.
  • Test your understanding of each lesson with short quizzes.
  • Verify you're ready by completing the Integrals in Business Calculus chapter exam.

Why It Works:

  • Study Efficiently: Skip what you know, review what you don't.
  • Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
  • Be Ready on Test Day: Use the Integrals in Business Calculus chapter exam to be prepared.
  • Get Extra Support: Ask our subject-matter experts any question about integrals in business calculus. They're here to help!
  • Study With Flexibility: Watch videos on any web-ready device.

Students Will Review:

This chapter helps students review the concepts in an integrals unit of a standard business calculus course. Topics covered include:

  • Indefinite and definite integrals
  • Anti-derivatives
  • Fundamental Theorem of Calculus
  • Solving integrals using substitution including techniques for difficult integrals
  • Integration by parts

7 Lessons in Chapter 8: Integrals in Business Calculus
Test your knowledge with a 30-question chapter practice test
The Fundamental Theorem of Calculus

1. The Fundamental Theorem of Calculus

The fundamental theorem of calculus is one of the most important equations in math. In this lesson we start to explore what the ubiquitous FTOC means as we careen down the road at 30 mph.

Definite Integrals: Definition

2. Definite Integrals: Definition

Explore how driving backwards takes you where you've already been as we define definite integrals. This lesson will also teach you the relationship between definite integrals and Riemann sums. Then, discover how an integral changes when it is above and below the x-axis.

Indefinite Integrals as Anti Derivatives

3. Indefinite Integrals as Anti Derivatives

What does an anti-derivative have to do with a derivative? Is a definite integral a self-confident version of an indefinite integral? Learn how to define these in this lesson.

Anti-Derivatives: Calculating Indefinite Integrals of Polynomials

4. Anti-Derivatives: Calculating Indefinite Integrals of Polynomials

If you throw a ball in the air, the path that it takes is a polynomial. In this lesson, learn how to integrate these fantastic functions by putting together your knowledge of the fundamental theorem of calculus and your ability to differentiate polynomial functions.

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.

Using Integration By Parts

7. 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!

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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