Evaluate the integral below by changing to spherical coordinates. 81 81 x2 - y2 (x²z + y?z + z³ ) dz dx dy 81 – y2-/81 – x² - y2

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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Evaluate the integral below by changing to spherical coordinates.
81 - v2
V 81 - x2 - v2
(x²z + y?z + z³ ) dz dx dy
V 81 - y2
V 81 – x2 - y2
Transcribed Image Text:Evaluate the integral below by changing to spherical coordinates. 81 - v2 V 81 - x2 - v2 (x²z + y?z + z³ ) dz dx dy V 81 - y2 V 81 – x2 - y2
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