Evaluate the Integral in Terms of Natural Logarithms $$\int _ { 0 } ^ { 4 \sqrt { 3 } } \frac { \mathrm { dx } } { \sqrt { 16 + \mathrm { x } ^ { 2 } } }$$

question 59

Multiple Choice

Evaluate the integral in terms of natural logarithms.
- $$\int _ { 0 } ^ { 4 \sqrt { 3 } } \frac { \mathrm { dx } } { \sqrt { 16 + \mathrm { x } ^ { 2 } } }$$

• A) \(\ln ( \sqrt { 2 } + \sqrt { 3 } )\)
• B) \(\ln \left( \frac { \sqrt { 3 } + 2 } { 4 } \right)\)
• C) \(\ln ( \sqrt { 3 } + 2 )\)
• D) \(\ln ( \sqrt { 2 } + 3 )\)

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