Integrate the Function $\int \frac { \sqrt { x ^ { 2 } - 9 } } { x } d x$

question 87

Multiple Choice

Integrate the function.
- $\int \frac { \sqrt { x ^ { 2 } - 9 } } { x } d x$

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

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Definitions:

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