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\noindent \vtop{\hsize=4.2in \noindent {\bf Problem statement} The
region $R$ in ${\bf R}^2$ is the parallelogram shown to
the right which has vertices (corners) at $(1,2)$, $(0,3)$,
$(-1,1)$, and $(0,0)$.
Verify that $\displaystyle \int\!\!\int_{R}
(y+x)^6\cos(y-2x)\, dA_{xy}={{3^6\sin(3)}\over 7}$.
}
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