15.1.1 (p. 1019) The Volume Problem

Calculus, 8/E by Howard Anton, Irl Bivens, and Stephen DavisCopyright © 2005 by John Wiley & Sons, Inc. All rights reserved.

15.1.1 (p. 1019)The Volume Problem

Figure 15.1.2 Figure 15.1.3


Definition 15.1.2 (p. 1020)


Theorem 15.1.3 (p. 1022)


Equations (9), (10), (11), (12) (p. 1024)

where the region R is subdivided into regions R1 and R2.



Theorem 15.2.2


Determining Limits of Integration: Type I Region (p. 1028)


Determining Limits of Integration: Type II Region (p. 1028)


Theorem 15.3.3 (p. 1038)


Determining Limits of Integration for a Polar Double Integral: Simple Polar Region (p. 1039)


Figure 15.3.8 (p. 1039)




Equation (10) (p. 1051)

Equation (11) (p. 1052)


Equation (1) (p. 1057)

Theorem 15.5.1 (p. 1057)


Theorem 15.5.2 (p. 1058)

Determining Limits of Integration: Simple xy-Solid (p. 1059)


15.6.1 (p. 1065)Mass of a Lamina


Equations (78) (p. 1068)

Equations (910)


Equation (11) (p. 1069)

Equation (12)


Equation (13) (p. 1070)

Equations (1415)


Determining Limits of Integration: Cylindrical Coordinates (p. 1077)

Figure 15.7.4






Equation (10) (p. 1083)



Definition 15.8.2 (p. 1092)Change of Variables Formula for Double Integrals



Definition 15.8.4 (p. 1092)Change of Variables Formula for Triple Integrals


Equation (16) (p. 1096)

Equation (17) (p. 1096)

Documents

15.1.1 (p. 1019) The Volume Problem