√ √ - 6(r cos(0))rdrd0 D = {(r, 0) | 0 ≤ r ≤ 5 + sin(0), 0π ≤ 0 ≤ = π}. Hint: The integral and region is defined in polar coordinates. T 3 п 4 5 k 4 T 2 T 0 1 2 3 4 5 71 0 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question

5.3.9

Evaluate the following integral over the Region D.
(Answer accurate to 2 decimal places).
.
√ √ 6(r · cos(0))rdrde
D= =
{(r, 0) | 0 ≤ r ≤ 5 + sin(0), 0π ≤ 0 ≤ = π}.
2
Hint: The integral and region is defined in polar coordinates.
T
3 п
4
5 T
1+sin(0)
5+sin(0)
T
2
012345
3 п
2
2+sin(0)
T
4
L
7 T
4
3+sin(0)
0
0
4+sin(0)
Transcribed Image Text:Evaluate the following integral over the Region D. (Answer accurate to 2 decimal places). . √ √ 6(r · cos(0))rdrde D= = {(r, 0) | 0 ≤ r ≤ 5 + sin(0), 0π ≤ 0 ≤ = π}. 2 Hint: The integral and region is defined in polar coordinates. T 3 п 4 5 T 1+sin(0) 5+sin(0) T 2 012345 3 п 2 2+sin(0) T 4 L 7 T 4 3+sin(0) 0 0 4+sin(0)
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