Calculate the integral of f(x, y) = (x² + y2)-3/2 over the region x² + y2 ≤ 81, x + y ≥ 9 by changing to polar coordinates. (Use symbolic notation and fractions where needed.) -3/2 1/₁₂ (x² + y²)-³2²dA=
Calculate the integral of f(x, y) = (x² + y2)-3/2 over the region x² + y2 ≤ 81, x + y ≥ 9 by changing to polar coordinates. (Use symbolic notation and fractions where needed.) -3/2 1/₁₂ (x² + y²)-³2²dA=
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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
Transcribed Image Text:Calculate the integral of f(x, y) = (x² + y2)-3/2 over the region x² + y² ≤ 81, x + y ≥ 9 by changing to polar
coordinates.
(Use symbolic notation and fractions where needed.)
√(x² + 3²³)-³2²dA=
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