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Connections and Applications of Definite Integrals

# Connections and Applications of Definite Integrals

Unit 6: The Integral

Lesson 7 of 9

Lesson 7 of 9

## Objective: SWBAT compute definite integrals algebraically and graphically; SWBAT use definite integrals to compute the average y-value of a function on an interval.

## Big Idea: Why does the Evaluation Theorem work? What is a function’s average y-value? Today we investigate applications of definite integrals.

Subject(s):

Math, definite integral, Precalculus and Calculus, Integrals, Fundamental Theorem of Calculus, AP Calculus AB, integration, u, integration by substitution, average value, calculus, AP Calculus, calculus ab

*120 minutes*

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- UNIT 1: Back to School
- UNIT 2: Limits and Derivatives
- UNIT 3: Formalizing Derivatives and Techniques for Differentiation
- UNIT 4: Applications of Differentiation, Part 1
- UNIT 5: Applications of Differentiation, Part 2
- UNIT 6: The Integral
- UNIT 7: Applications of Integration
- UNIT 8: Differential Equations
- UNIT 9: Full Course Review via Motion
- UNIT 10: The Final Stretch - Preparing for the AP Exam

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- LESSON 1: Introducing the Integral
- LESSON 2: u-Substitution (Part 1 of 2)
- LESSON 3: u-Substitution (Part 2 of 2)
- LESSON 4: Rectangular Approximation Methods
- LESSON 5: RAM and the Definite Integral
- LESSON 6: In-Depth with Definite Integrals
- LESSON 7: Connections and Applications of Definite Integrals
- LESSON 8: Approximating Definite Integrals from Tables
- LESSON 9: Integration Review for Semester Exam

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