Question: If the region R = = {(x, y) |x ¥ 1, 0 ¤ y ¤ 1/x} is rotated about the -axis, the volume of the

If the region R = = {(x, y) |x ‰¥ 1, 0 ‰¤ y ‰¤ 1/x} is rotated about the -axis, the volume of the resulting solid is finite. Show that the surface area is infinite. (The surface is shown in the figure and is known as Gabriel's horn.)
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