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

question 85

Multiple Choice

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

• A) \(\frac { 1 } { 3 } x ^ { 3 } \cos 3 x + \frac { 1 } { 3 } x ^ { 2 } \sin 3 x - \frac { 2 } { 9 } x \cos 3 x - \frac { 2 } { 27 } \sin 3 x + C\)
• B) \(\frac { 1 } { 3 } x ^ { 3 } \sin 3 x - \frac { 1 } { 3 } x ^ { 2 } \cos 3 x + \frac { 2 } { 9 } x \sin 3 x + \frac { 2 } { 27 } \cos 3 x + C\)
• C) \(\frac { 1 } { 3 } x ^ { 3 } \sin 3 x + 1 x ^ { 2 } \cos 3 x - 2 x \sin 3 x - 2 \cos 3 x + C\)
• D) \(\frac { 1 } { 3 } x ^ { 3 } \sin 3 x + \frac { 1 } { 3 } x ^ { 2 } \cos 3 x - \frac { 2 } { 9 } x \sin 3 x - \frac { 2 } { 27 } \cos 3 x + C\)

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