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Shell method

Problem

A region R is bounded above by the graph of y, equals, cosine, x, bounded below by the graph of y, equals, sine, left parenthesis, x, squared, right parenthesis, and bounded on the right by the y-axis.
The upper and lower curves intersect at x, equals, c for some constant c, is less than, 0.
Rotating region R about the vertical line x, equals, 2 generates a solid of revolution S.
Find an expression for the volume of S.
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