Example 5-6-2 - Maple Help



Chapter 5: Double Integration



Section 5.6: Changing Variables in a Double Integral



Example 5.6.2



Let $R$ be the interior and boundary of the parallelogram formed by the lines $x+y=0$, $x+y=2$, , .

 a) Integrate $f\left(x,y\right)={\left(x+y\right)}^{2}$ over $R$, noting that it takes three iterations to cover $R$.
 b) Make the change of variables $u=x+y$,  and evaluate the integral of $f$ over the image of $R$ under this change of variables.