Evaluate the Integral by Using Multiple Substitutions $\int \frac { 3 \sin ^ { 2 } \sqrt { 3 y + 9 } \cos \sqrt { 3 y + 9 } } { 2 \sqrt { 3 y + 9 } } d y$

question 175

Multiple Choice

Evaluate the integral by using multiple substitutions.
- $\int \frac { 3 \sin ^ { 2 } \sqrt { 3 y + 9 } \cos \sqrt { 3 y + 9 } } { 2 \sqrt { 3 y + 9 } } d y$

• A) \(2 \sin \sqrt { 3 y + 9 } + C\)
• B) \(\frac { \sin ^ { 3 } \sqrt { 3 y + 9 } } { 18 } + C\)
• C) \(\frac { \sin ^ { 3 } \sqrt { 3 y + 9 } } { 3 } + C\)
• D) \(\frac { \sqrt { 3 y + 9 ^ { 3 } } } { 3 } + C\)

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