Evaluate the following integral over the Region D. (Answer accurate to 2 decimal places). /| 8(r · cos(8))rdrd® 1 D = {(r, 8) | 0 < r<1+ sin(0), 0n < 0<}. %3D Hint: The integral and region are defined in polar coordinates. 4 0 1 2 3 4 5 r 4 2 2+sin(8) 4+sin(8) 1+sin(8) 5+sin(e) 3+sin(8)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Evaluate the following integral over the Region D.
(Answer accurate to 2 decimal places).
/| 8(r · cos(8))rdrd®
1
D = {(r, 8) | 0 < r<1+ sin(0), 0n < 0<}.
%3D
Hint: The integral and region are defined in polar coordinates.
4
0 1 2 3 4 5
r
4
2
1+sin(8)
5+sin(e)
4+sin(8)
2+sin(8)•
3+sin(8)
Transcribed Image Text:Evaluate the following integral over the Region D. (Answer accurate to 2 decimal places). /| 8(r · cos(8))rdrd® 1 D = {(r, 8) | 0 < r<1+ sin(0), 0n < 0<}. %3D Hint: The integral and region are defined in polar coordinates. 4 0 1 2 3 4 5 r 4 2 1+sin(8) 5+sin(e) 4+sin(8) 2+sin(8)• 3+sin(8)
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