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