Evaluate the Integral by Making a Substitution and Then Using $$\int \tan ^ { - 1 } \sqrt { x + 2 } d x$$

question 271

Multiple Choice

Evaluate the integral by making a substitution and then using a table of integrals.
- $$\int \tan ^ { - 1 } \sqrt { x + 2 } d x$$

• A) \(\frac { 1 } { 2 } ( x + 2 ) \sin ^ { - 1 } \sqrt { x + 2 } - \sqrt { x + 2 } + C\)
• B) \(( x + 3 ) \tan ^ { - 1 } \sqrt { x + 2 } - \sqrt { x + 2 } + C\)
• C) \(\frac { 1 } { 4 } ( 2 x + 3 ) \sin ^ { - 1 } \sqrt { x + 2 } + \frac { \sqrt { x + 2 } } { 4 } \sqrt { - x - 1 } + C\)
• D) \(\frac { 1 } { 2 } ( x + 3 ) \tan ^ { - 1 } \sqrt { x + 2 } - \frac { \sqrt { x + 2 } } { 2 } + C\)

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