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# Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve$y = e ^ { x }$, and the line x = ln 2 about the line x = ln 2.

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In order to determine the volume of the rotating region, we will use the $\textcolor{#4257B2}{\textbf{shell method}}$, so first, we should determine the boundaries of the region, and then, using the mentioned method, get a specific integral that represents the value of the required volume.

The rotating region is bounded by the coordinate axes, the curve $y=e^{x}$, and the line $x=\ln2$, and is located in the first quadrant.

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