= 1/₂ F² A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and write integral, where f is an arbitrary continuous function on R. 1 R 1 x f(x, y) dA as an iterated

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 90E
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• 1/₂"
A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and write
integral, where f is an arbitrary continuous function on R.
。
3π/4
J-π/4
3π/4
1
(²
(²
J-π/4
LL
1
LL
OLL
f(r, e) dr de
f(x, y) dy dx
f(r cos(8), r sin(0)) r dr de
f(x, y) dy dx
R
f(x, y) dy dx
1 X
f(x, y) dA as an iterated
Transcribed Image Text:• 1/₂" A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and write integral, where f is an arbitrary continuous function on R. 。 3π/4 J-π/4 3π/4 1 (² (² J-π/4 LL 1 LL OLL f(r, e) dr de f(x, y) dy dx f(r cos(8), r sin(0)) r dr de f(x, y) dy dx R f(x, y) dy dx 1 X f(x, y) dA as an iterated
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