Evaluate the Integral $$\int x ^ { 3 } \cos 7 x d x$$

question 138

Multiple Choice

Evaluate the integral.
- $$\int x ^ { 3 } \cos 7 x d x$$

• A) \(\frac { 1 } { 7 } x ^ { 3 } \sin 7 x + \frac { 3 } { 7 } x ^ { 2 } \cos 7 x - \frac { 6 } { 7 } x \sin 7 x - \frac { 6 } { 7 } \cos 7 x + C\)
• B) \(\frac { 1 } { 7 } x ^ { 3 } \sin 7 x - \frac { 3 } { 49 } x ^ { 2 } \cos 7 x + \frac { 6 } { 343 } x \sin 7 x + \frac { 6 } { 2401 } \cos 7 x + C\)
• C) \(\frac { 1 } { 7 } x ^ { 3 } \cos 7 x + \frac { 3 } { 49 } x ^ { 2 } \sin 7 x - \frac { 6 } { 343 } x \cos 7 x - \frac { 6 } { 2401 } \sin 7 x + C\)
• D) \(\frac { 1 } { 7 } x ^ { 3 } \sin 7 x + \frac { 3 } { 49 } x ^ { 2 } \cos 7 x - \frac { 6 } { 343 } x \sin 7 x - \frac { 6 } { 2401 } \cos 7 x + C\)

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