Express the Integrand as a Sum of Partial Fractions and Evaluate

question 168

Multiple Choice

Express the integrand as a sum of partial fractions and evaluate the integral.
- $$\int \frac { x + 9 } { x ^ { 2 } + 6 x } d x$$

• A) \(\frac { 3 } { 2 } \ln \left| x ^ { 9 } ( x + 6 ) ^ { 3 } \right| + C\)
• B) \(\ln \left| \frac { x ^ { 9 } } { ( x + 6 ) ^ { 3 } } \right| + C\)
• C) \(\frac { 1 } { 6 } \ln \left| x ^ { 9 } ( x + 6 ) ^ { 3 } \right| + C\)
• D) \(\frac { 1 } { 6 } \ln \left| \frac { x ^ { 9 } } { ( x + 6 ) ^ { 3 } } \right| + C\)

---

Definitions:

External Environments

The external factors, conditions, and forces outside an organization that can affect its activities and performance, including economic, legal, and technological influences.

Sustainable Development Goals

A collection of 17 global objectives set by the United Nations in 2015 to achieve a better and more sustainable future for all by 2030.

Cold War

A period of geopolitical tension between the Soviet Union and the United States and their respective allies, from the end of World War II until the dissolution of the Soviet Union in 1991, characterized by threats, propaganda, and other measures short of open warfare.

Cause-related

Pertains to marketing or initiatives that link a company or brand with a social cause or issue for mutual benefit.