Integrate the Function $$\int \frac { d x } { \left( x ^ { 2 } + 4 \right) ^ { 3 / 2 } }$$

question 87

Multiple Choice

Integrate the function.
- $$\int \frac { d x } { \left( x ^ { 2 } + 4 \right) ^ { 3 / 2 } }$$

• A) \(\frac { x } { 4 \sqrt { 4 - x ^ { 2 } } } + \frac { \sqrt { 4 - x ^ { 2 } } } { x } + C\)
• B) \(\frac { x } { 4 \sqrt { 4 + x ^ { 2 } } } + C\)
• C) \(\frac { x } { 2 \sqrt { 4 + x ^ { 2 } } } + C\)
• D) \(\frac { 2 } { x \sqrt { 4 - x ^ { 2 } } } + C\)

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