The graph of y = (x), for a x b, is rotated about the y-axis.

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The graph of y = ƒ(x), for a ≤ x ≤ b, is rotated about the y-axis. In this situation, the surface area of the resulting surface is

TSX  S = 2 x1 + f'(x) dx

Determine the surface area for each surface of revolution. If the surface area cannot be computed exactly, find an approximate value.

ƒ(x) = x2, [1, 5]

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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