AP-Calculus-BC 2727-MA-Book May 11, 2018 14:20
CHAPTER 13
Big Idea 3: Integrals and the
Fundamental Theorems of Calculus
More Applications
of Definite Integrals
IN THIS CHAPTER
Summary:In this chapter, you will learn to solve problems using a definite integral as
accumulated change. These problems include distance-traveled problems,
temperature problems, and growth problems. You will also learn to work with slope
fields, solve differential and logistic equations, and apply Euler’s Method to
approximate the value of a function at a specific value.
Key Ideas
KEY IDEA !Average Value of a Function
!Mean Value Theorem for Integrals
!Distance Traveled Problems
!Definite Integral as Accumulated Change
!Differential Equations
!Slope Fields
!Logistic Differential Equations
!Euler’s Method
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