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=

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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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=
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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