Evaluate the Integral $$\int \frac { d x } { x \sqrt { 6 + 4 x } }$$

question 309

Multiple Choice

Evaluate the integral.
- $$\int \frac { d x } { x \sqrt { 6 + 4 x } }$$

• A) \(\frac { 1 } { \sqrt { 6 } } \ln \left| \frac { \sqrt { 6 + 4 x } - \sqrt { 6 } } { \sqrt { 6 + 4 x } + \sqrt { 6 } } \right| + C\)
• B) \(\frac { 1 } { \sqrt { 6 } } \ln \left| \frac { \sqrt { 6 + 4 x } + \sqrt { 6 } } { \sqrt { 6 + 4 x } - \sqrt { 6 } } \right| + C\)
• C) \(2 \sqrt { 6 + 4 x } + 2 \sqrt { 6 } \tan ^ { - 1 } \sqrt { \frac { 6 + 4 x } { 6 } } + C\)
• D) \(\frac { 1 } { \sqrt { 6 } } \tan ^ { - 1 } \sqrt { \frac { 6 + 4 x } { 6 } } + C\)

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