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Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis. \[y=3x^2, y=18x-6x^2\]
\[3x^2 = 18x-6x^2\] \[9x^2-18x=0\] \[9x(x-2)=0\] \[x=0,2\] Thus the Integral will go from 0 to 2.... But how would I set up the integral?
|dw:1475174019134:dw|I'm not sure exactly where these functions will lie. But I know that one is a parabola opening up, and the other a parabola opening downward.
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