Evaluate the Integral $$\int \frac { \sqrt { 4 - x ^ { 2 } } } { x } d x$$

question 368

Multiple Choice

Evaluate the integral.
- $$\int \frac { \sqrt { 4 - x ^ { 2 } } } { x } d x$$

• A) \(\sqrt { 4 - x ^ { 2 } } - \sin ^ { - 1 } \left( \frac { x } { 2 } \right) + C\)
• B) \(\sqrt { 4 - x ^ { 2 } } - 2 \ln \left| \frac { 2 + \sqrt { 4 - x ^ { 2 } } } { x } \right| + C\)
• C) \(\sqrt { 4 - x ^ { 2 } } + 2 \ln \left| \frac { 2 + \sqrt { 4 - x ^ { 2 } } } { x ^ { 2 } } \right| + C\)
• D) \(- \sin ^ { - 1 } \left( \frac { x } { 2 } \right) - \frac { \sqrt { 4 - x ^ { 2 } } } { x } + C\)

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