Use the Given Transformation to Evaluate the Integral Where $R$ Is the Parallelogram Bounded by the Lines

Multiple Choice

Use the given transformation to evaluate the integral.
- $$\begin{array} { c } \mathrm { u } = \mathrm { x } + \mathrm { y } , \mathrm { v } = - 2 \mathrm { x } + \mathrm { y } ; \\\iint _ { \mathrm { R } } 3 \mathrm { xdxdy } ,\end{array}$$
where $R$ is the parallelogram bounded by the lines $y = - x + 1 , y = - x + 4 , y = 2 x + 2 , y = 2 x + 5$

A) 3
B) 6
C) -6
D) -3