(Technology Permitted) Let R be the region. bounded by y=In(x), y=0, x=e². a. Write but do not evaluate an integral expression for the area of region R. b. What is the volume of the solid generated when R is rotated around the y axis? c. Cross sections taken perpendicular to the y-axis are semicircles with diameter in region R. What is the volume of the solid?

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A: Answer: The solution is given below:

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