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Integralshard
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A specialized lens has a cross-section defined by the area between the curve f(x)=ln⁡(x)f(x) = \ln(x)f(x)=ln(x) and the line g(x)=x−1g(x) = x-1g(x)=x−1. If this region is revolved about the line y=2y=2y=2, which integral correctly calculates the resulting volume?