Evaluate the Integral $$\int \frac { \ln x } { x ^ { 3 } } d x$$

question 339

Multiple Choice

Evaluate the integral. The integral may not require integration by parts.
- $$\int \frac { \ln x } { x ^ { 3 } } d x$$

• A) \(\frac { 4 } { x ^ { 5 } } + C\)
• B) \(- \frac { 1 } { 2 } \ln x - \frac { 1 } { 2 x ^ { 2 } } + C\)
• C) \(- \frac { 1 } { 2 x ^ { 2 } } \ln x - \frac { 1 } { 4 x ^ { 2 } } + C\)
• D) \(- \frac { 1 } { x } \ln x - \frac { 1 } { 4 x ^ { 2 } } + C\)

---

Definitions:

Arbitration

A form of alternative dispute resolution where a neutral third party, known as an arbitrator, makes a binding decision to resolve a dispute between two or more parties.

Alternative Dispute Resolution (ADR)

A range of processes, such as mediation and arbitration, to resolve conflicts outside of traditional court settings.

Mediation

A form of alternative dispute resolution where a neutral third party helps the disputing parties reach a mutually acceptable agreement.

Arbitration

A form of alternative dispute resolution where a neutral third party makes a binding decision to resolve a conflict between parties.