Evaluate the Integral $$\int 2 \cos ^ { 3 } 3 x d x$$

question 13

Multiple Choice

Evaluate the integral.
- $$\int 2 \cos ^ { 3 } 3 x d x$$

• A) \(\frac { 2 } { 3 } \sin 3 x + \frac { 2 } { 9 } \sin ^ { 3 } 3 x + C\)
• B) \(\frac { 2 } { 3 } \sin 3 x - \frac { 2 } { 9 } \cos ^ { 3 } 3 x + C\)
• C) \(\frac { 2 } { 3 } \sin 3 x - \frac { 2 } { 9 } \sin ^ { 3 } 3 x + C\)
• D) \(2 \sin 3 x - \frac { 2 } { 3 } \sin ^ { 3 } 3 x + C\)

---

Definitions:

Tracing

The process of tracking or following a pattern, outline, or succession of steps, often used in contexts such as investigations or art.

Calibration

The process of adjusting and standardizing the accuracy of a device by comparing it with universally accepted standards.

Spirometer

A medical device used to measure the air capacity of the lungs to assist in diagnosing and monitoring respiratory conditions.

Standardized Measuring Instrument

Tools or devices used to collect data in a uniform manner to ensure consistency and reliability in research or assessments.