Use Reduction Formulas to Evaluate the Integral $\int \sin ^ { 2 } 3 x \cos ^ { 2 } 3 x d x$

question 452

Multiple Choice

Use reduction formulas to evaluate the integral.
- $\int \sin ^ { 2 } 3 x \cos ^ { 2 } 3 x d x$

• A) \(- \frac { 1 } { 3 } \sin 3 x \cos ^ { 3 } 3 x + \frac { x } { 8 } + \frac { 1 } { 3 } \sin 6 x + C\)
• B) \(- \frac { 1 } { 12 } \sin 3 x \cos ^ { 2 } 3 x + \frac { x } { 8 } + \frac { 1 } { 48 } \sin 6 x + C\)
• C) \(- \frac { 1 } { 12 } \sin 3 x \cos ^ { 3 } 3 x + \frac { x } { 8 } + \frac { 1 } { 48 } \sin 6 x + C\)
• D) \(- \frac { 1 } { 12 } \sin 3 x \cos ^ { 3 } 3 x + \frac { x } { 8 } + \frac { 1 } { 48 } \cos 6 x + C\)

---

Definitions:

Risk Taking

The action of engaging in behaviors that involve some level of risk, often with the potential for significant reward.

External Attribute

An external attribute is a characteristic or feature of an object or system that can be observed or measured without changing its internal state.

Project Size

An attribute of a project that signifies its magnitude, often measured in terms of cost, duration, complexity, or the number of resources involved.

Industry Context

The broader environmental and situational factors, including trends, challenges, and opportunities, that influence the operations and strategies of businesses within a specific industry.