2. Find the surface area of the curve: ( y=frac{x^{2}}{4}-frac{1}{2} ln x ; 1 leq x leq 2 ) when the curve is rotated about the ( y )-axis.
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We need to find the surface area generated when the curve \(y = \frac{x^2}{4} - \frac{1}{2} \ln x\) is rotated about the y-axis from \(x = 1\) to \(x = 2\). Show more…
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