Find the Volume of the Resulting Solid If the Region $$y = \frac { 1 } { \left( x ^ { 2 } + 3 x + 2 \right) }$$

question 13

Short Answer

Find the volume of the resulting solid if the region under the curve
$$y = \frac { 1 } { \left( x ^ { 2 } + 3 x + 2 \right) }$$
from $x = 0$ to $x = 1$ is rotated about the $x$ -axis. Round your answer to four decimal places.

---

Definitions:

Convicted

Found guilty of a crime through a legal process, such as a trial.

Petty Offense

A minor legal violation that is less serious than a misdemeanor.

Infraction

A minor violation or breach of law, typically not punishable by imprisonment.

Misdemeanor

A criminal offense that is less severe than a felony and usually punishable by fines or short-term imprisonment.