EJERCICIO 40

Descripción

Problem 12 Exercises 15.9 Stewart Fifth Edition.

Use la transformación dada para evaluar la integral.

$\displaystyle \iint_R(4x+8y)\;dA$, donde R es el paralelogramo con vértices (–1,3), (1,–3) and (3,–1) y (1,5); $x=\frac{1}{4}(u+v)$, $y=\frac{1}{4}(v-3u)$.

Use the given transformation to evaluate the integral.

$\displaystyle \iint_R(4x+8y)\;dA$, where R is the parallelogram with vertices (–1,3), (1,–3) and (3,–1) and (1,5); $x=\frac{1}{4}(u+v)$, $y=\frac{1}{4}(v-3u)$.