9. The region \( R \) is enclosed by the graph of \( y = 3x - x^2 \) and the line \( y = x \). If the region \( R \) is rotated about the line \( y = -1 \), the volume of the solid that is generated is represented by which of the following integrals?
Answer is: option2
Solution:
\( \pi \int_0^2 \left[\left(3x - x^2 + 1\right)^2 - (x + 1)^2\right] \, dx \)
