Integrate the Function $$\int \frac { x ^ { 3 } } { \sqrt { x ^ { 2 } + 2 } } d x$$

question 117

Multiple Choice

Integrate the function.
- $$\int \frac { x ^ { 3 } } { \sqrt { x ^ { 2 } + 2 } } d x$$

• A) \(\frac { 1 } { 3 } \left( x ^ { 2 } + 2 \right) ^ { 3 / 2 } + \tan ^ { - 1 } \left( \frac { x } { 2 } \right) + C\)
• B) \(\frac { 1 } { 3 } \sqrt { x ^ { 2 } + 2 } - \frac { 2 } { \sqrt { x ^ { 2 } + 2 } } + C\)
• C) \(\frac { 1 } { 3 } \left( x ^ { 2 } + 2 \right) ^ { 3 / 2 } - 2 \sqrt { x ^ { 2 } + 2 } + C\)
• D) \(\frac { 1 } { 2 } \left( x ^ { 2 } + 2 \right) ^ { 3 / 2 } - \sqrt { x ^ { 2 } + 2 } + C\)

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