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Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 7x - x3 and y = 0.

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Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 7x - x3 and y = 0. (a) A typical shell has radius x, circumference 27x, and height f(x) = (b) So, by the shell method, the volume is V = dx 0 and a = (c) Evaluate the integral: V =

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