Express the integral f (x² + y²) dA as an iterated integral using polar coordinates if R is the region enclosed by y = √√81 - x² and the lines y = x and y = -x. (Give exact answers. Use symbolic notation and fractions where needed.) 0₂ [/₂₁ (x² + 3²) d^ = √²³² [² 0₁ P₁ f(r, 0) = 0₁ = 0₂ = r1 = f(r, 0) dr de
Express the integral f (x² + y²) dA as an iterated integral using polar coordinates if R is the region enclosed by y = √√81 - x² and the lines y = x and y = -x. (Give exact answers. Use symbolic notation and fractions where needed.) 0₂ [/₂₁ (x² + 3²) d^ = √²³² [² 0₁ P₁ f(r, 0) = 0₁ = 0₂ = r1 = f(r, 0) dr de
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:r2 =
Transcribed Image Text:Express the integral ſf (x² + y²) dA as an iterated integral using polar coordinates if R is the region enclosed by
y = √81
-
x² and the lines y = x and y = -x.
(Give exact answers. Use symbolic notation and fractions where needed.)
0₂
[/₂₁ (x² + 3²) d^ = √³² [²
La
0₁
f(r, 0) =
0₁ =
0₂ =
r1 =
f(r, 0) dr de
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