Evaluate the following integral in cylindrical coordinates. 8√64-x²√x²+² !! 0 0 Ţ Ş (x² + y²)-1/² dz dy dx 0 8 √64-x²√√x²+y² -1/2 S S S (x² + y²)-¹/² dz dy dx = 0 0 0 (Type an exact answer, using as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 44E
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Evaluate the following integral in cylindrical coordinates.
8 √64-x²√x²+²
! !
[ [
0
1/2
!
[ (x² + y²) - ¹/² dz dy dx
0
8√64-x²√√x²+y²
1/2
S S | (x² + y²)-¹/² dz dy dx =
0
0
0
(Type an exact answer, using as needed.)
D
www
Transcribed Image Text:Evaluate the following integral in cylindrical coordinates. 8 √64-x²√x²+² ! ! [ [ 0 1/2 ! [ (x² + y²) - ¹/² dz dy dx 0 8√64-x²√√x²+y² 1/2 S S | (x² + y²)-¹/² dz dy dx = 0 0 0 (Type an exact answer, using as needed.) D www
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