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The given curve is rotated about the \( y \)-axis. Find the area of the resulting surface. \[ y=\f ...
The given curve is rotated about the \( y \)-axis. Find the area of the resulting surface. \[ y=\frac{1}{4} x^{2}-\frac{1}{2} \ln (x), \quad 2 \leq x \leq 3 \]