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

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Presentation transcript:

Chapter 14 Multiple Integration

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

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

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

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

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

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

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

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

Copyright © Houghton Mifflin Company. All rights reserved Figure 14.17

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

Copyright © Houghton Mifflin Company. All rights reserved Figure 14.24

Copyright © Houghton Mifflin Company. All rights reserved Figure 14.25

Copyright © Houghton Mifflin Company. All rights reserved Figure 14.26

Copyright © Houghton Mifflin Company. All rights reserved Figure 14.27

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

Copyright © Houghton Mifflin Company. All rights reserved Figure 14.28

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

Copyright © Houghton Mifflin Company. All rights reserved Figure 14.36

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

Copyright © Houghton Mifflin Company. All rights reserved Figure 14.37

Copyright © Houghton Mifflin Company. All rights reserved Figure 14.39

Copyright © Houghton Mifflin Company. All rights reserved Figure 14.40

Copyright © Houghton Mifflin Company. All rights reserved Figure and Figure 14.43

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

Copyright © Houghton Mifflin Company. All rights reserved Figure 14.48

Copyright © Houghton Mifflin Company. All rights reserved Figure 14.51

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

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

Copyright © Houghton Mifflin Company. All rights reserved Figure 14.52

Copyright © Houghton Mifflin Company. All rights reserved Figure 14.59

Copyright © Houghton Mifflin Company. All rights reserved Figure 14.62

Copyright © Houghton Mifflin Company. All rights reserved Figure 14.63

Copyright © Houghton Mifflin Company. All rights reserved Figure 14.67

Copyright © Houghton Mifflin Company. All rights reserved Figure 14.68

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

Copyright © Houghton Mifflin Company. All rights reserved Figure 14.70

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

Copyright © Houghton Mifflin Company. All rights reserved Figure and Figure 14.74