Evaluate the following integral over the Region R. (Answer accurate to 2 decimal places). S √ 7 (1 - 2² - 3²) dA R R = 3 5 • {(r, 0) | 3 ≤ r ≤ 5, 7 T ≤ 0 ≤ IT}. Hint: The integral is defined in rectangular coordinates. The Region is defined in polar coordinates.
Evaluate the following integral over the Region R. (Answer accurate to 2 decimal places). S √ 7 (1 - 2² - 3²) dA R R = 3 5 • {(r, 0) | 3 ≤ r ≤ 5, 7 T ≤ 0 ≤ IT}. Hint: The integral is defined in rectangular coordinates. The Region is defined in polar coordinates.
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:Evaluate the following integral over the Region R.
(Answer accurate to 2 decimal places).
√ √ 7(1 – 2² - y²) dA
R
3
6,2/T T≤ 0 < = T}.
R = {(r, 0) | 3 ≤ r ≤ 5,
Hint: The integral is defined in rectangular coordinates. The Region is defined in polar coordinates.
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