Evaluate the following integral in cylindrical coordinates. √16-x² 4 S S -4 0 4 √16-x² 3 S S S- -4 0 3 1 1 ਇਸ 2 -dz dy dx dz dy dx = +yº 0 (Type an exact answer, using as needed.) ... N m 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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R6

Evaluate the following integral in cylindrical coordinates.
4
16-x 3
S S
[ ! [ 2²2
S
1+
-4 0 0
-dz dy dx
√16-x² 3
4
S S S-
-4
0
0
(Type an exact answer, using as needed.)
1
1+x² + y²
-dz dy dx =
12 m
Transcribed Image Text:Evaluate the following integral in cylindrical coordinates. 4 16-x 3 S S [ ! [ 2²2 S 1+ -4 0 0 -dz dy dx √16-x² 3 4 S S S- -4 0 0 (Type an exact answer, using as needed.) 1 1+x² + y² -dz dy dx = 12 m
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