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Integrate the Function 16x2dx\int \sqrt { 16 - x ^ { 2 } } d x

Question 352

Multiple Choice

Integrate the function.
- 16x2dx\int \sqrt { 16 - x ^ { 2 } } d x


A) 8sin1(x4) +x16x22+C8 \sin ^ { - 1 } \left( \frac { x } { 4 } \right) + \frac { x \sqrt { 16 - x ^ { 2 } } } { 2 } + C
B) x1616x2+16x2x+C\frac { x } { 16 \sqrt { 16 - x ^ { 2 } } } + \frac { \sqrt { 16 - x ^ { 2 } } } { x } + C
C) 16x16x2+x2+C\frac { 16 x } { \sqrt { 16 - x ^ { 2 } } } + \frac { x } { 2 } + C
D) 8xx16x22+C8 x - \frac { x \sqrt { 16 - x ^ { 2 } } } { 2 } + C

Correct Answer:

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