Evaluate $\int \frac { 3 x + 2 } { x - 1 } d x$

question 20

Multiple Choice

Evaluate $\int \frac { 3 x + 2 } { x - 1 } d x$

• A) \(5 \ln | x - 1 | + 3 x + C\)
• B) \(5 \ln | x - 1 | + C\)
• C) \(3 \ln | x - 1 | + 3 x + C\)
• D) \(3 x + C\)
• E) \(3 \ln | x - 1 | + 5 x + C\)
• F) \(5 x + C\)
• G) \(2 \ln | x - 1 | + 3 x + C\)
• H) \(2 \ln | x | + C\)

---

Definitions:

Eighteenth-century British America

Refers to the British colonies in North America during the 1700s, a period marked by economic growth, colonial conflicts, and steps towards independence.

Seven Years' War

Spanning from 1756 to 1763, this significant global altercation involved the key powers of the time and had an impact on Europe, North America, Central America, the West African coast, India, and the Philippines.

Colonial Identities

The sense of self and community shared by people living in colonies, often shaped by the interplay of indigenous cultures and colonial influences.