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Let $R$ be the region in the $xy$-plane bounded between the lines $y=x$, $y=2x$, and $x=2$.
\begin{enumerate}[(a)]
\item Sketch the region.  Be sure to label the axes, the curves, the region $R$, and any points of intersection.
\item Set-up a definite integral (or a sum of definite integrals, if needed) using integration along the $x$-axis that computes the area of the region $R$.
\item Set-up a definite integral (or a sum of definite integrals, if needed) using integration along the $y$-axis that computes the area of the region $R$.
\item Evaluate one of your integrals (from parts (b) or (c)) to find the exact area of the region $R$.
\end{enumerate}

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