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

question 30

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:

Constitutional Law

The body of law that governs the rights, powers, and structure of government entities, and the rights of individuals under a country's constitution.

Labour Market

The supply and demand dynamics of employers looking to hire and individuals seeking employment, often influenced by factors like economy, technology, and policy.

Baby Boomers

The demographic group born during the post-World War II baby boom, approximately between the years 1946 and 1964.

HR Strategists

Professionals within the field of human resources who design and implement plans to help ensure that an organization has the right personnel for its business goals.