Consider 6 V 36-x² V 72-x²-y² x² + y² xydzdydx. (a) Describe the the solid region E of integration for the previous integral in xyz- coordinates. (b) Describe E in spherical coordinates. (c) Evaluate the integral.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.2: Integration By Parts
Problem 12E
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Consider
6
36-x²
L" [√
√√72-x²-y²
x²+y²
xydzdydx.
(a) Describe the the solid region of integration for the previous integral in xyz- coordinates.
(b) Describe E in spherical coordinates.
(c) Evaluate the integral.
Transcribed Image Text:Consider 6 36-x² L" [√ √√72-x²-y² x²+y² xydzdydx. (a) Describe the the solid region of integration for the previous integral in xyz- coordinates. (b) Describe E in spherical coordinates. (c) Evaluate the integral.
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