Use the transformation u = 2x + 4y, v=x+3y to evaluate the given integral for the region R 1 1 1 1 bounded by the lines y = -x + 1, y = -x +3₁ y=-3x, and y=-3x+2. SS (x²+ R +6y²) dx dy +5xy + [[(x² + 5xy + 6y²) dx dy =]] R (Simplify your answer.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Use the transformation u = 2x + 4y, v=x+3y to evaluate the given integral for the region R
1
1
1
1
bounded by the lines y = -x + 1, y = -x +3₁ y=-3x, and y=-3x+2.
SS (x²+
R
+6y²) dx dy
+5xy +
[[(x² + 5xy + 6y²) dx dy =]]
R
(Simplify your answer.)
Transcribed Image Text:Use the transformation u = 2x + 4y, v=x+3y to evaluate the given integral for the region R 1 1 1 1 bounded by the lines y = -x + 1, y = -x +3₁ y=-3x, and y=-3x+2. SS (x²+ R +6y²) dx dy +5xy + [[(x² + 5xy + 6y²) dx dy =]] R (Simplify your answer.)
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