Find the Indefinite Integral $$\int \sin ^ { 3 } \frac { x } { 8 } d x$$

question 31

Multiple Choice

Find the indefinite integral. $$\int \sin ^ { 3 } \frac { x } { 8 } d x$$

• A) \(\frac { 8 \left( 1 + \cos ^ { 2 } \frac { x } { 8 } \right) \cos \frac { x } { 8 } } { 3 } + C\)
• B) \(- \frac { 8 \left( 3 - \cos ^ { 2 } \frac { x } { 8 } \right) \cos \frac { x } { 8 } } { 3 } + C\)
• C) \(\frac { 8 \left( 2 - \cos ^ { 2 } \frac { x } { 8 } \right) \cos \frac { x } { 8 } } { 3 } + C\)
• D) \(\frac { 8 \left( 3 - \cos ^ { 2 } \frac { x } { 8 } \right) \cos \frac { x } { 8 } } { 3 } + C\)
• E)\(- \frac { 8 \left( 2 - \cos ^ { 2 } \frac { x } { 8 } \right) \cos \frac { x } { 8 } } { 3 } + C\)

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