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Let R be the region bounded by the graphs of f(x)=6/x+2, g(x)=4, and the vertical line x=1. Region R is the base of a solid.

Let R be the region bounded by the graphs of f(x)=6/x+2, g(x)=4, and the vertical line x=1. Region R is the base of a solid. Cross sections perpendicular to the y-axis are isosceles right triangles with one leg in the base. FInd the volume of the solid.

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