Evaluate the Integral $$\int \frac { 2 x ^ { 2 } } { \sqrt { 9 - x ^ { 2 } } } d x$$

question 53

Multiple Choice

Evaluate the integral.
- $$\int \frac { 2 x ^ { 2 } } { \sqrt { 9 - x ^ { 2 } } } d x$$

• A) \(9 \sin ^ { - 1 } \left( \frac { x } { 3 } \right) - \sqrt { 9 - x ^ { 2 } } + C\)
• B) \(9 \sin ^ { - 1 } \left( \frac { x } { 3 } \right) - x \sqrt { 9 - x ^ { 2 } } + C\)
• C) \(\sqrt { 9 - x ^ { 2 } } - 3 \ln \left| \frac { 3 + \sqrt { 9 - x ^ { 2 } } } { x } \right| + C\)
• D) \(- 3 \sin ^ { - 1 } \left( \frac { x } { 3 } \right) - x ^ { 2 } \sqrt { 9 - x ^ { 2 } } + C\)

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