[[F(x, R th limits of integration B D -IT² f(x, y) dA = f(r cos(0), r sin(0)) r dr de (Click on graph to enlarge)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Suppose R is the shaded region in the figure. As an iterated integral in polar coordinates,
B
D
l
f(x, y) dA :
= ["* ["
f(r cos(0), r sin(0)) r dr də
3
R
2
with limits of integration
A =
B =
C =
D =
1
-1
-2
-3
A
Y
-3
-2
1
2
3
(Click on graph to enlarge)
4
Transcribed Image Text:Suppose R is the shaded region in the figure. As an iterated integral in polar coordinates, B D l f(x, y) dA : = ["* [" f(r cos(0), r sin(0)) r dr də 3 R 2 with limits of integration A = B = C = D = 1 -1 -2 -3 A Y -3 -2 1 2 3 (Click on graph to enlarge) 4
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