Use the given transformation to evaluate the integral.   (12x + 12y) dA   R,  where R is the parallelogram with vertices  (−2, 4),   (2, −4),   (5, −1),  and  (1, 7) ;  x =  1 3(u + v), y =  1 3(v − 2u)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 3E
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Use the given transformation to evaluate the integral.

  (12x + 12y) dA
 
R
,
 where R is the parallelogram with vertices 
(−2, 4),
 
(2, −4),
 
(5, −1),
 and 
(1, 7)
x = 
1
3
(u + v), y = 
1
3
(v − 2u)
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