Evaluate the following integral in spherical coordinates. √ffe (²+y - (x² + y² +2²) 312 D dV; D is a ball of radius 7

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.
Chapter7: Integration
Section7.3: Area And The Definite Integral
Problem 20E
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Evaluate the following integral in spherical coordinates.
-
SSS ² (x² + y² + 2²) ³1²
D
0
dV; D is a ball of radius 7
Set up the triple integral using spherical coordinates that should be used to evaluate the given integral as efficiently as possible. Use increasing limits of integration.
dp dep de
C
Transcribed Image Text:Evaluate the following integral in spherical coordinates. - SSS ² (x² + y² + 2²) ³1² D 0 dV; D is a ball of radius 7 Set up the triple integral using spherical coordinates that should be used to evaluate the given integral as efficiently as possible. Use increasing limits of integration. dp dep de C
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