# Ch 16: Using the Fundamental Theorem of Calculus

### About This Chapter

## Using the Fundamental Theorem of Calculus - Chapter Summary and Learning Objectives

Our experienced instructors will explain the fundamental theorem of calculus (FTOC), and most importantly, show you how it will simplify your life as a mathematician! Learn how to use the FTOC to solve definite integrals and antiderivatives. Watch the video, practice the calculations then take the quiz at the end each lesson to see what you have learned. After finishing this chapter, you will be able to:

- Explain the fundamental theorem of calculus and its use
- Find definite integrals using the FTOC
- Use the FTOC to calculate antiderivatives

Video | Objective |
---|---|

The Fundamental Theorem of Calculus | Learn the definition, formula and use of the Fundamental Theorem. |

Evaluating Definite Integrals Using the Fundamental Theorem | Use the fundamental theorem to calculate definite integrals. |

Using the Fundamental Theorem to Calculate an Antiderivative | Master the steps to solving antiderivatives using the FTOC. |

### 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.

### 2. Evaluating Definite Integrals Using the Fundamental Theorem

The fundamental theorem of calculus makes finding your definite integral almost a piece of cake. See how the definite integral becomes a subtraction problem after applying the fundamental theorem of calculus.

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### Other Chapters

Other chapters within the AP Calculus AB: Exam Prep course

- Graph Basics
- The Basics of Functions
- How to Graph Functions
- Limits of Functions
- Continuity of Functions
- Understanding Exponentials & Logarithms
- Using Exponents and Polynomials
- Properties of Derivatives
- The Derivative at a Point
- The Derivative as a Function
- Second Derivatives
- Using Derivatives
- Computing Derivatives
- Properties of Definite Integrals
- Applications of Integrals
- Understanding & Applying Integration Techniques
- Approximating Definite Integrals
- Using a Scientific Calculator for Calculus
- About the AP Calculus Exam
- AP Calculus AB Flashcards