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

MA 3972-MA-Book May 8, 2018 13:52

CHAPTER

11

Big Idea 3: Integrals and the

Fundamental Theorems of Calculus

Integration

IN THIS CHAPTER

Summary:On the AP Calculus AB exam, you will be asked to evaluate integrals of
various functions. In this chapter, you will learn several methods of evaluating
integrals including U-Substitution. Also, you will be given a list of common
integration and differentiation formulas, and a comprehensive set of practice
problems. It is important that you work out these problems and check your solutions
with the given explanations.
Key Ideas
KEY IDEA !Evaluating Integrals of Algebraic Functions

!Integration Formulas

!U-Substitution Method Involving Algebraic Functions

!U-Substitution Method Involving Trigonometric Functions

!U-Substitution Method Involving Inverse Trigonometric Functions

!U-Substitution Method Involving Logarithmic and Exponential Functions

227