Evaluate the following integral in cylindrical coordinates. 1 √1-x² √x² + y² S S (x² + y²)-1/2 dz dy dx 0 S S 0 0 √1-x² √x² + y² S S (x² + y²)-1/² dz dy dx = [ S S 0 0 (Type an exact answer, using it as needed.)

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Evaluate the following integral in cylindrical coordinates.
√x² + y²
1
[!!
0
0
0
-1/2
(x² + y²)-¹/² dz dy dx
√√x² + y²
1/2
| (x² + y²)-¹/² dz dy dx = [
0
S S S S
0 0
(Type an exact answer, using as needed.)
Transcribed Image Text:Evaluate the following integral in cylindrical coordinates. √x² + y² 1 [!! 0 0 0 -1/2 (x² + y²)-¹/² dz dy dx √√x² + y² 1/2 | (x² + y²)-¹/² dz dy dx = [ 0 S S S S 0 0 (Type an exact answer, using as needed.)
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