(a) Find the volume of the resulting solid if the region under the curve $y=\displaystyle \frac{1}{x^2+3x+2}$ from $x=0$ to $x=1$ is rotated about the $x$-axis.

Volume =

(b) Find the volume of the resulting solid if the region under the curve $y=\displaystyle \frac{1}{x^2+3x+2}$ from $x=0$ to $x=1$ is rotated about the $y$-axis.

Volume =