Evaluate the Integral by Using Multiple Substitutions $\int \sqrt { 8 + \sin ^ { 2 } ( x - 9 ) } \sin ( x - 9 ) \cos ( x - 9 ) d x$

question 246

Multiple Choice

Evaluate the integral by using multiple substitutions.
- $\int \sqrt { 8 + \sin ^ { 2 } ( x - 9 ) } \sin ( x - 9 ) \cos ( x - 9 ) d x$

• A) \(\frac { 3 } { 4 } \sqrt { 8 + \sin ^ { 2 } ( x - 9 ) } + C\)
• B) \(\frac { 1 } { 3 } \left( 8 + \sin ^ { 2 } ( x - 9 ) \right) ^ { 3 / 2 } + C\)
• C) \(\left( 8 + \cos ^ { 2 } ( x - 9 ) \right) ^ { 3 / 2 } + C\)
• D) \(\frac { 1 } { 3 } \left( 8 + \sin ^ { 2 } x \right) ^ { 3 / 2 } + C\)

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