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Let R be the region of the plane bounded by y=lnx and the x-axis from x=1...

Let R be the region of the plane bounded by y=lnx and the x-axis from x=1 to x= e. Draw picture for each

a) Set up, but do not evaluate or simplify, the definite integral(s) that computes the volume of the solid obtained by rotating the region R about they-axis using the disk/washer method.

b) Set up, but do not evaluate or simplify, the definite integral(s) that computes the volume of the solid obtained by rotating the region R about the line x=e.State the method you use.

c) Set up, but do not evaluate or simplify, the definite integral(s) that computes the area of the surface obtained by rotating the curve y=lnx from x=1t o x=e about the x-axis.

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