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Volume of Revolution Problem

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