Use the transformation u=2x+y, v=x + 3y to evaluate the given integral for the region R 1 bounded by the lines y = - 2x + 3, y = - 2x + 4, y = -x, and y = -x +3. SS R (2x² +7xy+3y²) dx dy (2x²+7xy+3y²) dx dy= R (Simplify your answer.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 20E
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Use the transformation u = 2x + y, v=x + 3y to evaluate the given integral for the region R
1
1
bounded by the lines y=-2x+3, y=-2x+4, y = -x, and y=-3x+3.
(2x² + 7xy+3y²) dx dy
R
(2x² + 7xy + 3y²) dx dy=[
R
(Simplify your answer.)
Transcribed Image Text:Use the transformation u = 2x + y, v=x + 3y to evaluate the given integral for the region R 1 1 bounded by the lines y=-2x+3, y=-2x+4, y = -x, and y=-3x+3. (2x² + 7xy+3y²) dx dy R (2x² + 7xy + 3y²) dx dy=[ R (Simplify your answer.)
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