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By making an appropriate change of variables, evaluate the double integral (x + y)e²"-v° drdy where R is the rectangle enclosed by the lines & – y = 0, x – y = 3, x + y = 0, and æ + y = In(31)/3. Then what is I + In(31)/6

By making an appropriate change of variables, evaluate the double integral (x + y)e²"-v° drdy where R is the rectangle enclosed by the lines & – y = 0, x – y = 3, x + y = 0, and æ + y = In(31)/3. Then what is I + In(31)/6

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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By making an appropriate change of variables, evaluate the double integral

I=∬R(x+y)ex2−y2dxdy

where R is the rectangle enclosed by the lines x−y=0, x−y=3, x+y=0, and x+y=ln(31)/3

.

Then what is I+ln(31)/6

By making an appropriate change of variables, evaluate the double integral (x + y)e²-v° dxdy where R is the rectangle enclosed by the lines z – y = 0, x – y = 3, x + y = 0, and x + y = In(31)/3. Then what is I + In(31)/6 Answer:
Transcribed Image Text:By making an appropriate change of variables, evaluate the double integral (x + y)e²-v° dxdy where R is the rectangle enclosed by the lines z – y = 0, x – y = 3, x + y = 0, and x + y = In(31)/3. Then what is I + In(31)/6 Answer:
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