Evaluate the integral // (2+1). - e²²–1²³dA, where R is defined by + y = 5, x + y = 8, R 1² - y² = −1, and ï² − y² = 1. The transformation equations are u=-y and v= x+y.

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 4
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Evaluate the integral
√ √₂ (z + 3)
(x + y) - e²²-v³dA, where R is defined by ☎ +y = 5, z + y = 8,
T² - y² = -1, and x² - y² = 1. The transformation equations are u = x − y and v=x+Y.
Provide an exact answer or an answer accurate to 4 decimal places.
4
Integral =
Hint: The focus of this problem is on evaluating the integral and using the Jacobian.
05/07/2023 06:54
Transcribed Image Text:Question 4 > Evaluate the integral √ √₂ (z + 3) (x + y) - e²²-v³dA, where R is defined by ☎ +y = 5, z + y = 8, T² - y² = -1, and x² - y² = 1. The transformation equations are u = x − y and v=x+Y. Provide an exact answer or an answer accurate to 4 decimal places. 4 Integral = Hint: The focus of this problem is on evaluating the integral and using the Jacobian. 05/07/2023 06:54
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