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Evaluate the Integral dxx6+4x\int \frac { d x } { x \sqrt { 6 + 4 x } }

Question 309

Multiple Choice

Evaluate the integral.
- dxx6+4x\int \frac { d x } { x \sqrt { 6 + 4 x } }


A) 16ln6+4x66+4x+6+C\frac { 1 } { \sqrt { 6 } } \ln \left| \frac { \sqrt { 6 + 4 x } - \sqrt { 6 } } { \sqrt { 6 + 4 x } + \sqrt { 6 } } \right| + C
B) 16ln6+4x+66+4x6+C\frac { 1 } { \sqrt { 6 } } \ln \left| \frac { \sqrt { 6 + 4 x } + \sqrt { 6 } } { \sqrt { 6 + 4 x } - \sqrt { 6 } } \right| + C
C) 26+4x+26tan16+4x6+C2 \sqrt { 6 + 4 x } + 2 \sqrt { 6 } \tan ^ { - 1 } \sqrt { \frac { 6 + 4 x } { 6 } } + C
D) 16tan16+4x6+C\frac { 1 } { \sqrt { 6 } } \tan ^ { - 1 } \sqrt { \frac { 6 + 4 x } { 6 } } + C

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