[Solution] Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region y=x^2+4,
Question: Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region \(y={{x}^{2}}+4\), \(x\in \left[ 0,2 \right]\), about the y-axis.
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