Use Reduction Formulas to Evaluate the Integral $\int 3 \cos ^ { 3 } x \sin ^ { 6 } x d x$

question 240

Multiple Choice

Use reduction formulas to evaluate the integral.
- $\int 3 \cos ^ { 3 } x \sin ^ { 6 } x d x$

• A) \(\frac { 3 } { 7 } \left( \sin ^ { 7 } x - \sin ^ { 9 } x \right) + C\)
• B) \(\frac { 3 } { 5 } \cos ^ { 5 } x - \frac { 3 } { 7 } \cos ^ { 7 } x + C\)
• C) \(\frac { 3 } { 7 } \sin ^ { 7 } x - \frac { 1 } { 3 } \sin ^ { 9 } x + C\)
• D) \(\frac { 3 } { 5 } \sin ^ { 5 } x - \frac { 1 } { 3 } \cos ^ { 9 } x + C\)