Find the Integral $$\int x ^ { 5 } \ln x d x$$

question 67

Multiple Choice

Find the integral.
$$\int x ^ { 5 } \ln x d x$$

• A) \(\frac { 1 } { 6 } x ^ { 6 } ( 6 \ln x - 1 ) + C\)
• B) \(\frac { 1 } { 36 } x ^ { 6 } ( \ln x - 1 ) + C\)
• C) \(\frac { 1 } { 6 } x ^ { 5 } + \frac { 1 } { x } + C\)
• D) \(\frac { 1 } { 36 } x ^ { 6 } ( 6 \ln x - 1 ) + C\)

---

Definitions:

Highly Complex Tasks

Tasks that involve multiple, intricate processes and require a high level of cognitive function to solve.

Routine Skills

The technical or procedural abilities and expertise required to perform day-to-day tasks efficiently and effectively.

Dyadic Behaviors

Refers to the interactive patterns or actions that occur between two individuals or entities, often studied within the context of communication, relationship dynamics, or leadership processes.

Performance

The act of carrying out a task or functioning in an effective and efficient manner, often evaluated against a set of standards or expectations.