Evaluate the Integral $$\int \frac { 1 } { x \sqrt { 49 + x ^ { 2 } } } d x$$

question 349

Multiple Choice

Evaluate the integral.
- $$\int \frac { 1 } { x \sqrt { 49 + x ^ { 2 } } } d x$$

• A) \(- \frac { 1 } { 7 } \ln \left| \frac { 7 + \sqrt { 49 + x ^ { 2 } } } { x ^ { 2 } } \right| + C\)
• B) \(- \frac { 1 } { 7 } \ln \left| \frac { 7 - \sqrt { 49 + x ^ { 2 } } } { x } \right| + C\)
• C) \(- \frac { 1 } { 7 } \ln \left| \frac { 7 + \sqrt { 49 + x ^ { 2 } } } { x } \right| + C\)
• D) \(\frac { 1 } { 7 } \ln \left| \frac { 7 + \sqrt { 49 + \mathrm { x } ^ { 2 } } } { \mathrm { x } } \right| + C\)

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