5 Steps to a 5 AP Calculus BC 2019

AP-Calculus-BC 2727-MA-Book May 11, 2018 14:16

CHAPTER 11

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 BC 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

!Improper Integrals

231