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Chapter 14 Multiple Integration. Copyright © Houghton Mifflin Company. All rights reserved.14-2 Figure 14.1.

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Presentation on theme: "Chapter 14 Multiple Integration. Copyright © Houghton Mifflin Company. All rights reserved.14-2 Figure 14.1."— Presentation transcript:

1 Chapter 14 Multiple Integration

2 Copyright © Houghton Mifflin Company. All rights reserved.14-2 Figure 14.1

3 Copyright © Houghton Mifflin Company. All rights reserved.14-3 Area of a Region in the Plane, Figure 14.2 and Figure 14.3

4 Copyright © Houghton Mifflin Company. All rights reserved.14-4 Figure 14.8, Figure 14.9, Figure 14.10, and, Figure 14.11

5 Copyright © Houghton Mifflin Company. All rights reserved.14-5 Definition of Double Integral

6 Copyright © Houghton Mifflin Company. All rights reserved.14-6 Volume of a Solid Region

7 Copyright © Houghton Mifflin Company. All rights reserved.14-7 Theorem 14.1 Properties of Double Integrals and Figure 14.14

8 Copyright © Houghton Mifflin Company. All rights reserved.14-8 Figure 14.15

9 Copyright © Houghton Mifflin Company. All rights reserved.14-9 Figure 14.16

10 Copyright © Houghton Mifflin Company. All rights reserved.14-10 Figure 14.17

11 Copyright © Houghton Mifflin Company. All rights reserved.14-11 Theorem 14.2 Fubini's Theorem

12 Copyright © Houghton Mifflin Company. All rights reserved.14-12 Figure 14.24

13 Copyright © Houghton Mifflin Company. All rights reserved.14-13 Figure 14.25

14 Copyright © Houghton Mifflin Company. All rights reserved.14-14 Figure 14.26

15 Copyright © Houghton Mifflin Company. All rights reserved.14-15 Figure 14.27

16 Copyright © Houghton Mifflin Company. All rights reserved.14-16 Theorem 14.3 Change of Variables to Polar Form

17 Copyright © Houghton Mifflin Company. All rights reserved.14-17 Figure 14.28

18 Copyright © Houghton Mifflin Company. All rights reserved.14-18 Definition of Mass of a Planar Lamina of Variable Density and Figure 14.33

19 Copyright © Houghton Mifflin Company. All rights reserved.14-19 Figure 14.36

20 Copyright © Houghton Mifflin Company. All rights reserved.14-20 Moments and Center of mass of a Variable Deinsity Planar Lamina

21 Copyright © Houghton Mifflin Company. All rights reserved.14-21 Figure 14.37

22 Copyright © Houghton Mifflin Company. All rights reserved.14-22 Figure 14.39

23 Copyright © Houghton Mifflin Company. All rights reserved.14-23 Figure 14.40

24 Copyright © Houghton Mifflin Company. All rights reserved.14-24 Figure 14.42 and Figure 14.43

25 Copyright © Houghton Mifflin Company. All rights reserved.14-25 Definition of Surface Area

26 Copyright © Houghton Mifflin Company. All rights reserved.14-26 Figure 14.48

27 Copyright © Houghton Mifflin Company. All rights reserved.14-27 Figure 14.51

28 Copyright © Houghton Mifflin Company. All rights reserved.14-28 Definition of Triple Integral

29 Copyright © Houghton Mifflin Company. All rights reserved.14-29 Theorem 14.4 Evaluation by Iterated Integrals

30 Copyright © Houghton Mifflin Company. All rights reserved.14-30 Figure 14.52

31 Copyright © Houghton Mifflin Company. All rights reserved.14-31 Figure 14.59

32 Copyright © Houghton Mifflin Company. All rights reserved.14-32 Figure 14.62

33 Copyright © Houghton Mifflin Company. All rights reserved.14-33 Figure 14.63

34 Copyright © Houghton Mifflin Company. All rights reserved.14-34 Figure 14.67

35 Copyright © Houghton Mifflin Company. All rights reserved.14-35 Figure 14.68

36 Copyright © Houghton Mifflin Company. All rights reserved.14-36 Definition of the Jacobian

37 Copyright © Houghton Mifflin Company. All rights reserved.14-37 Figure 14.70

38 Copyright © Houghton Mifflin Company. All rights reserved.14-38 Theorem 14.5 Change of Variables for Double Integrals

39 Copyright © Houghton Mifflin Company. All rights reserved.14-39 Figure 14.73 and Figure 14.74


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