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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use the transformation u = 3x + y, v = x + 2y to evaluate the given integral for the region R bounded by the lines y = - 3x + 3, y = - 3x + 4, y = -x, and y = -x+3.
1
I| (3x2 + 7xy + 2y²) dx dy
R
I(3x? + 7xy + 2y?) dx dy =
R
(Simplify your answer.)
Transcribed Image Text:1 Use the transformation u = 3x + y, v = x + 2y to evaluate the given integral for the region R bounded by the lines y = - 3x + 3, y = - 3x + 4, y = -x, and y = -x+3. 1 I| (3x2 + 7xy + 2y²) dx dy R I(3x? + 7xy + 2y?) dx dy = R (Simplify your answer.)
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