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Chapter 5 Integration Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

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Presentation on theme: "Chapter 5 Integration Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley."— Presentation transcript:

1 Chapter 5 Integration Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

2 Area under the curve Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

3 Copyright © 2008 Pearson Education, Inc
Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

4 Copyright © 2008 Pearson Education, Inc
Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

5 Copyright © 2008 Pearson Education, Inc
Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

6 Copyright © 2008 Pearson Education, Inc
Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

7 Copyright © 2008 Pearson Education, Inc
Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

8 Copyright © 2008 Pearson Education, Inc
Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

9 Copyright © 2008 Pearson Education, Inc
Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

10 Copyright © 2008 Pearson Education, Inc
Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

11 Copyright © 2008 Pearson Education, Inc
Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

12 Copyright © 2008 Pearson Education, Inc
Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

13 Copyright © 2008 Pearson Education, Inc
Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

14 To find the area between the graph of y=f(x)
Summary To find the area between the graph of y=f(x) and the x-axis over the interval [a,b], do the following Subdivide [a , b] at the zeros of f. Integrate f over each subinterval. Add the absolute values of the integrals. Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

15 Area Between Curves Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

16 Copyright © 2008 Pearson Education, Inc
Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

17 Copyright © 2008 Pearson Education, Inc
Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

18 Copyright © 2008 Pearson Education, Inc
Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

19 Copyright © 2008 Pearson Education, Inc
Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

20 Copyright © 2008 Pearson Education, Inc
Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

21 Copyright © 2008 Pearson Education, Inc
Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

22 Copyright © 2008 Pearson Education, Inc
Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

23 Copyright © 2008 Pearson Education, Inc
Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

24 Copyright © 2008 Pearson Education, Inc
Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

25 Copyright © 2008 Pearson Education, Inc
Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

26 Copyright © 2008 Pearson Education, Inc
Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

27 Copyright © 2008 Pearson Education, Inc
Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley


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