Evaluate the integral by making an appropriate change of variables. [ 7(x + y) ex² - y² da, where R is the rectangle enclosed by the lines x - y = 0, x - y = 7,₁ x + y = 0, and x + y = 6

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Evaluate the integral by making an appropriate change of variables.
16₂7(x + 1
7(x + y) ex² - y²2 dA, where R is the rectangle enclosed by the lines x - y =0, x - y = 7, x + y = 0, and x + y = 6
Transcribed Image Text:Evaluate the integral by making an appropriate change of variables. 16₂7(x + 1 7(x + y) ex² - y²2 dA, where R is the rectangle enclosed by the lines x - y =0, x - y = 7, x + y = 0, and x + y = 6
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