Convert the integral 1/2 √9 - x² LE**** √ 18-x² - y2 dz dy dx into an integral in spherical coordinates and evaluate it. 3 × 1 < ) / ( 1²1 ) - (IT) ]x )√₂ 1³ cos (0) sin(0) + rz dp dp de = 18 (√2-1)
Convert the integral 1/2 √9 - x² LE**** √ 18-x² - y2 dz dy dx into an integral in spherical coordinates and evaluate it. 3 × 1 < ) / ( 1²1 ) - (IT) ]x )√₂ 1³ cos (0) sin(0) + rz dp dp de = 18 (√2-1)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Convert the integral
1/2
√9 - x²
LE****
√ 18-x² - y2
dz dy dx into an integral in spherical coordinates and evaluate it.
3 ×
1
< ) / ( 1²1 ) - (IT) ]x )√₂
1³ cos (0) sin(0) + rz
dp dp de =
18 (√2-1)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29c74d06-0f3b-4eb2-9c9d-dbbc1918002c%2F733ca432-6c1f-4a12-85a6-084755ab7c1e%2Fmle68f_processed.png&w=3840&q=75)
Transcribed Image Text:Convert the integral
1/2
√9 - x²
LE****
√ 18-x² - y2
dz dy dx into an integral in spherical coordinates and evaluate it.
3 ×
1
< ) / ( 1²1 ) - (IT) ]x )√₂
1³ cos (0) sin(0) + rz
dp dp de =
18 (√2-1)
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