# How do you find the volume of the solid generated by revolving the region bounded by the graph of #y = ln(x)#, the x-axis, the lines #x = 1# and #x = e#, about the y-axis?

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To find the volume of the solid generated by revolving the region bounded by the graph of ( y = \ln(x) ), the x-axis, the lines ( x = 1 ) and ( x = e ), about the y-axis, use the disk method for revolution.

The volume ( V ) is given by:

[ V = \pi \int_{1}^{e} [f(x)]^2 , dx ]

Where ( f(x) = \ln(x) ).

Substituting ( f(x) ) into the formula:

[ V = \pi \int_{1}^{e} [\ln(x)]^2 , dx ]

Calculate this integral to find the volume of the solid.

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