Evaluate the Integral by Using Multiple Substitutions $$\int \frac { ( 2 r - 6 ) \cos \sqrt { 3 ( 2 r - 6 ) ^ { 2 } + 7 } } { \sqrt { 3 ( 2 r - 6 ) ^ { 2 } + 7 } } d r$$

question 292

Multiple Choice

Evaluate the integral by using multiple substitutions.
- $$\int \frac { ( 2 r - 6 ) \cos \sqrt { 3 ( 2 r - 6 ) ^ { 2 } + 7 } } { \sqrt { 3 ( 2 r - 6 ) ^ { 2 } + 7 } } d r$$

• A) \(\frac { 1 } { 12 } \sin \sqrt { 3 ( 2 r - 6 ) ^ { 2 } } + C\)
• B) \(\frac { \cos \sqrt { 3 r ^ { 2 } + 6 } } { 12 \sqrt { 3 r ^ { 2 } + 6 } } + C\)
• C) \(- \sin \sqrt { 3 ( 2 r - 6 ) ^ { 2 } + 7 } + C\)
• D) \(\frac { 1 } { 6 } \sin \sqrt { 3 ( 2 r - 6 ) ^ { 2 } + 7 } + C\)

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