Integrate the Function $\int \frac { \sqrt { x ^ { 2 } - 16 } } { x } d x$

question 78

Multiple Choice

Integrate the function.
- $\int \frac { \sqrt { x ^ { 2 } - 16 } } { x } d x$

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

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