AP-Calculus-BC 2727-MA-Book May 11, 2018 14:14CHAPTER 10
Big Idea 3: Integrals and the
Fundamental Theorems of Calculus
Integration
IN THIS CHAPTER
Summary:On the AP Calculus BC 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, Integration by Parts, and Integration by Partial
Fractions. 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
!Integration by Parts
!Integration by Partial Fractions207