?Use the given transformation to evaluate the integral.\(\iint_{R}\left(x^{2}-x
Chapter 14, Problem 20(choose chapter or problem)
Use the given transformation to evaluate the integral.
\(\iint_{R}\left(x^{2}-x y+y^{2}\right) d A\), where R is the region bounded by the ellipse \(x^{2}-x y+y^{2}=2\); \(x=\sqrt{2} u-\sqrt{2 / 3} v, y=\sqrt{2} u+\sqrt{2 / 3} v\)
Equation Transcription:
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Text Transcription:
double integral_R (x^2 -xy +y^2 )dA
x^2 -xy+ y^2 =2
x=2 sqrt 2u -sqrt 2/3v ,y=sqrt 2u +sqrt 2/3v
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