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Integrate the Function dx(x2+25)3/2\int \frac { d x } { \left( x ^ { 2 } + 25 \right) ^ { 3 / 2 } }

Question 141

Multiple Choice

Integrate the function.
- dx(x2+25) 3/2\int \frac { d x } { \left( x ^ { 2 } + 25 \right) ^ { 3 / 2 } }


A) 5x25x2+C\frac { 5 } { x \sqrt { 25 - x ^ { 2 } } } + C
B) x525+x2+C\frac { x } { 5 \sqrt { 25 + x ^ { 2 } } } + C
C) x2525x2+25x2x+C\frac { x } { 25 \sqrt { 25 - x ^ { 2 } } } + \frac { \sqrt { 25 - x ^ { 2 } } } { x } + C
D) x2525+x2+C\frac { x } { 25 \sqrt { 25 + x ^ { 2 } } } + C

Correct Answer:

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