Explain why, when finding the volume of the solid generated by revolving the region…

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Explain why, when finding the volume of the solid generated by revolving the region bounded by

y=\begin{cases}x+1,&0\le x<1\\2,&1\le x\le2\end{cases}

and the

x

-axis about the line

y=-1

, two separate definite integrals are required rather than a single integral over

0\le x\le2