5 Steps to a 5 AP Calculus AB 2019 - William Ma

MA 3972-MA-Book April 11, 2018 15:57

CHAPTER

12

Big Idea 3: Integrals and the

Fundamental Theorems of Calculus

Definite Integrals

IN THIS CHAPTER

Summary:In this chapter, you will be introduced to the summation notation, the
concept of a Riemann Sum, the Fundamental Theorems of Calculus, and the
properties of definite integrals. You will also be shown techniques for evaluating
definite integrals involving algebraic, trigonometric, logarithmic, and exponential
functions. In addition, you will learn how to work with improper integrals. The ability
to evaluate integrals is a prerequisite to doing well on the AP Calculus AB exam.
Key Ideas
KEY IDEA !Summation Notation

!Riemann Sums

!Properties of Definite Integrals

!The First Fundamental Theorem of Calculus

!The Second Fundamental Theorem of Calculus

!Evaluating Definite Integrals

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