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15.7E: Ejercicios para la Sección 15.7
https://espanol.libretexts.org/Matematicas/Libro%3A_Calculo_(OpenStax)/15%3A_Integraci%C3%B3n_m%C3%BAltiple/15.07%3A_Cambio_de_Variables_en_Integrales_M%C3%BAltiples/15.7E%3A_Ejercicios_para_la_Secci%C3%B3n_15.7
In exercises 37 - 38, use the transformation $y = x = u, \space x + y = v$ to evaluate the integrals on the square $R$ determined by the lines $y = x, \space y = -x + 2, \space y = x + 2$ , and \...In exercises 37 - 38, use the transformation $y = x = u, \space x + y = v$ to evaluate the integrals on the square $R$ determined by the lines $y = x, \space y = -x + 2, \space y = x + 2$ , and $y = -x$ shown in the following figure. A transformation $T_{\theta} : R^2 \rightarrow R^2, \space T_{\theta} (u,v) = (x,y)$ of the form $x = u \space \cos \theta - v \space \sin \theta, \space y = u \space \sin \theta + v \space \cos \theta$ , is called a rotation angle $\theta$ .

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