Question
Use a computer algebra system to find the approximate surface area of the solid generated by rotating the curve about the $x$ -axis.\begin{equation}y=e^{-x^{2} / 2}, \quad[0,2]\end{equation}
Step 1
Step 1: The formula for the surface area of a solid of revolution is given by \begin{equation} S = \int_{a}^{b} 2\pi y \sqrt{1 + \left(\frac{dy}{dx}\right)^2} dx \end{equation} where $y=f(x)$ is the function being revolved, $a$ and $b$ are the limits of Show more…
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