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Chapter 14
Multiple Integration
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Figure 14.1
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Area of a Region in the Plane, Figure 14.2 and Figure 14.3
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Figure 14.8, Figure 14.9, Figure 14.10, and, Figure 14.11
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Definition of Double Integral
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Volume of a Solid Region
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Theorem 14.1 Properties of Double Integrals and Figure 14.14
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Figure 14.15
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Figure 14.16
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Figure 14.17
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Theorem 14.2 Fubini's Theorem
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Figure 14.24
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Figure 14.25
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Figure 14.26
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Figure 14.27
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Theorem 14.3 Change of Variables to Polar Form
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Figure 14.28
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Definition of Mass of a Planar Lamina of Variable Density and Figure 14.33
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Figure 14.36
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Moments and Center of mass of a Variable Deinsity Planar Lamina
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Figure 14.37
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Figure 14.39
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Figure 14.40
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Figure 14.42 and Figure 14.43
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Definition of Surface Area
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Figure 14.48
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Figure 14.51
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Definition of Triple Integral
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Theorem 14.4 Evaluation by Iterated Integrals
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Figure 14.52
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Figure 14.59
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Figure 14.62
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Figure 14.63
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Figure 14.67
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Figure 14.68
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Definition of the Jacobian
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Figure 14.70
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Theorem 14.5 Change of Variables for Double Integrals
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Figure 14.73 and Figure 14.74
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