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Integration: Evaluation and Applications

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Presentation on theme: "Integration: Evaluation and Applications"— Presentation transcript:

1 Integration: Evaluation and Applications
AP Calculus December 5, 2016 Mrs. Agnew

2 Essential Question Essential Vocabulary
How do you calculate the total change of a function? Essential Vocabulary Definite Integral Indefinite Integral Evaluation Theorem Total Change Theorem

3 The Evaluation Theorem
Says we can find area under curve using the value of F(x) at only two points, a and b. This method sure beats Riemann Sums!

4 Guided Practice When evaluating definite integrals, we get a NUMBER.
An indefinite integral has no limits of integration and is a FUNCTION. Remember your table of antiderivatives from earlier.

5 Total Change Theorem If F’(x) represents the rate of change in F(x), then the total change is given by… Guided Practice

6 Homework: 12/5/16 Page 293 – 296 #11, 15, 21, 25, 14, 18, 20, 22, 27, 31 33, 34, 41, 59 (a,c), 66, 105, 106

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