EJERCICIO 31

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Problem 20 Exercises 15.9 Stewart Fifth Edition

Evalúe la integral  haciendo un cambio de variables apropiado.

\(\displaystyle \iint_R(x+y)e^{x^2-y^2}\;dA\), donde R es el rectángulo encerrado por las rectas \(x+y=0\), \(x+y=3\), \(x-y=0\) y \(x-y=2\).

Evaluate the integral by making an appropiate change of variables.

\(\displaystyle \iint_R(x+y)e^{x^2-y^2}\;dA\), where R is the rectangle enclosed by the lines \(x+y=0\), \(x+y=3\), \(x-y=0\) and \(x-y=2\).