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Volume of Revolution Problem

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Please see the attached file for the complete problem.

Find the volume of the solid of revolution formed by rotating the finite region bounded by the graphs of y=sin((pi)x^2)/2) and y=x^5 about the y-axis.

The possible answers are:

A. 2(5pi-7)/7 B. (7pi-5)/7 C. 2(5-pi)/7

D. (5pi+2)/7 E. 2(7-pi)/7

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