[See Steps] 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=1-x, xin [
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 \(y=1-x\), \(x\in \left[ 0,1 \right]\) about the y-axis.
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