Step 1:
The formula for the surface area of revolution about the $x$-axis is given by
\begin{equation}
A = 2\pi \int_{a}^{b} y \sqrt{1 + \left(\frac{dy}{dx}\right)^2} dx
\end{equation}
where $y=f(x)$ is the function to be revolved, $a$ and $b$ are the limits of the
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