(a) Set up an integral for the area of the surface obtained by rotating the curve about...

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(a) Set up an integral for the area of the surface obtained by rotating the curve about (i) the x-axis and (ii) the y-axis.
(b) Use the numerical integration capability of a calculator to evaluate the surface areas correct to four decimal places.

y = tan-1 x, 0 < x < 2

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