Evaluate the following integral in cylindrical coordinates. 2 4 √2 √4-x² 2 S S S =-x² -√² 0 0 x dy dx dz 4√2√4-x² 2 SS S ==x²-₁² dy dx dz = 0 0 x (Simplify your answer. Type an exact answer, using as needed.)

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.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 43E
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Evaluate the following integral in cylindrical coordinates.
√2 √4-x²
4
SS S
00
X
x² - y²
4√2
117.
[-²³-² dy dx dz =
-X
2
ТУТ
e
2
an example
dy dx dz
00 X
(Simplify your answer. Type an exact answer, using as needed.)
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Transcribed Image Text:Evaluate the following integral in cylindrical coordinates. √2 √4-x² 4 SS S 00 X x² - y² 4√2 117. [-²³-² dy dx dz = -X 2 ТУТ e 2 an example dy dx dz 00 X (Simplify your answer. Type an exact answer, using as needed.) Get more help -
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