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Use the given transformation to evaluate the integral. √√₂ 3(x + y) ex²_ 3(x + y) ex² - y² da, where R is the rectangle enclosed by the lines x - y = 0, x - y = 6, x + y = 0, and x + y = 5; u = x + y, v = x - y

Use the given transformation to evaluate the integral. √√₂ 3(x + y) ex²_ 3(x + y) ex² - y² da, where R is the rectangle enclosed by the lines x - y = 0, x - y = 6, x + y = 0, and x + y = 5; u = x + y, v = x - y

Advanced Engineering Mathematics
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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Use the given transformation to evaluate the integral. 1/₁₂ 36x + y) 6x² - 1² d₁, 3(x + y) ex² - y² dA, where R is the rectangle enclosed by the lines x - y = 0, x − y = 6, x + y = 0, and R x + y = 5; u = x + y, v = x - y
Transcribed Image Text:Use the given transformation to evaluate the integral. 1/₁₂ 36x + y) 6x² - 1² d₁, 3(x + y) ex² - y² dA, where R is the rectangle enclosed by the lines x - y = 0, x − y = 6, x + y = 0, and R x + y = 5; u = x + y, v = x - y
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