Evaluate the Integral $\int \sqrt { 16 - x ^ { 2 } } d x$

question 296

Multiple Choice

Evaluate the integral.
- $\int \sqrt { 16 - x ^ { 2 } } d x$

• A) \(\frac { x } { 2 } \sqrt { 16 - x ^ { 2 } } + 8 \sin ^ { - 1 } \frac { x } { 4 } + C\)
• B) \(\frac { x } { 2 } \sqrt { 16 - x ^ { 2 } } + 8 \sin ^ { - 1 } \frac { x } { 16 } + C\)
• C) \(\sin ^ { - 1 } \frac { x } { 4 } + C\)
• D) \(\frac { x } { 2 } \sqrt { 16 - x ^ { 2 } } - 8 \ln \left| x + \sqrt { 16 - x ^ { 2 } } \right| + C\)

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