Use Reduction Formulas to Evaluate the Integral $\int \sin ^ { 5 } 3 x d x$

question 45

Multiple Choice

Use reduction formulas to evaluate the integral.
- $\int \sin ^ { 5 } 3 x d x$

• A) \(- \frac { 1 } { 15 } \sin ^ { 4 } 3 x \cos 3 x - \frac { 4 } { 45 } \sin ^ { 2 } 3 x \cos 3 x - \frac { 8 } { 45 } \cos 3 x + C\)
• B) \(- \frac { 1 } { 15 } \cos ^ { 4 } 3 x \sin 3 x - \frac { 8 } { 45 } \cos ^ { 2 } 3 x \sin 3 x - \frac { 2 } { 45 } \cos 3 x + C\)
• C) \(- \frac { 1 } { 15 } \sin ^ { 4 } 3 x \cos 3 x - \frac { 4 } { 45 } \sin ^ { 2 } 3 x \cos 3 x - \frac { 2 } { 9 } \sin 6 x + \frac { x } { 2 } + C\)
• D) \(- \frac { 1 } { 5 } \sin ^ { 4 } 3 x \cos 3 x - \frac { 4 } { 15 } \sin ^ { 2 } 3 x \cos 3 x - \frac { 2 } { 3 } \cos 3 x + C\)

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