Use a Trigonometric Substitution to Evaluate the Integral $$\int \frac { d x } { x \sqrt { x ^ { 2 } - 9 } }$$

question 192

Multiple Choice

Use a trigonometric substitution to evaluate the integral.
- $$\int \frac { d x } { x \sqrt { x ^ { 2 } - 9 } }$$

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

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