Let $f$ be a continuous function on $[a, b]$. Let $R$ be the plane region bounded by $f, y = 0$ (thex-axis), $x = a$ (the vertical line at $x = a$), and $x = b$ (the vertical line at $x = b$).
When it's revolved (rotated) about the x-axis, it generates a 3-dimensional space region. This 3-D space region is called a solid of revolution. Let's label it $S$. We wish to find its volume. Let $V$ be that volume.
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