Evaluate the Integral $$\int \frac { d x } { x \sqrt { 16 - x ^ { 2 } } }$$

question 33

Multiple Choice

Evaluate the integral.
- $$\int \frac { d x } { x \sqrt { 16 - x ^ { 2 } } }$$

• A) \(- \frac { 1 } { 4 } \ln \left| \frac { x + \sqrt { 16 - x ^ { 2 } } } { x } \right| + C\)
• B) \(- \frac { 1 } { 4 } \ln \left| \frac { 4 + \sqrt { 16 - x ^ { 2 } } } { x } \right| + C\)
• C) \(- \frac { \sqrt { 16 - x ^ { 2 } } } { 16 x } + C\)
• D) \(\sqrt { 16 - x ^ { 2 } } - 4 \ln \left| \frac { 4 + \sqrt { 16 - x ^ { 2 } } } { x } \right|\)

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