AP Calculus BC Knowledge Review: More Applications of Definite Integrals

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Introduce:

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

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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