chapter 14 multiple integration. copyright © houghton mifflin company. all rights reserved.14-2...

Chapter 14

Multiple Integration

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

Figure 14.1


Area of a Region in the Plane, Figure 14.2 and Figure 14.3


Figure 14.8, Figure 14.9, Figure 14.10, and, Figure 14.11


Definition of Double Integral


Volume of a Solid Region


Theorem 14.1 Properties of Double Integrals and Figure 14.14


Figure 14.15


Figure 14.16


Figure 14.17


Theorem 14.2 Fubini's Theorem


Figure 14.24


Figure 14.25


Figure 14.26


Figure 14.27


Theorem 14.3 Change of Variables to Polar Form


Figure 14.28


Definition of Mass of a Planar Lamina of Variable Density and Figure 14.33


Figure 14.36


Moments and Center of mass of a Variable Deinsity Planar Lamina


Figure 14.37


Figure 14.39


Figure 14.40


Figure 14.42 and Figure 14.43


Definition of Surface Area


Figure 14.48


Figure 14.51


Definition of Triple Integral


Theorem 14.4 Evaluation by Iterated Integrals


Figure 14.52


Figure 14.59


Figure 14.62


Figure 14.63


Figure 14.67


Figure 14.68


Definition of the Jacobian


Figure 14.70


Theorem 14.5 Change of Variables for Double Integrals


Figure 14.73 and Figure 14.74

chapter 14 multiple integration. copyright © houghton mifflin company. all rights reserved.14-2...

Documents

definition of mass

double integralsfigure

change of variables

properties of double

center of mass

iterated integralsfigure

solid regiontheorem

fubinis theoremfigure