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Use a Trigonometric Substitution to Evaluate the Integral dxxx216\int \frac { d x } { x \sqrt { x ^ { 2 } - 16 } }

Question 58

Multiple Choice

Use a trigonometric substitution to evaluate the integral.
- dxxx216\int \frac { d x } { x \sqrt { x ^ { 2 } - 16 } }


A) sin1x4+C\sin ^ { - 1 } \frac { x } { 4 } + C
B) 14sin1x4+C\frac { 1 } { 4 } \sin ^ { - 1 } \frac { x } { 4 } + C
C) 4sec1x+C4 \sec ^ { - 1 } x + C
D) 14sec1x4+C\frac { 1 } { 4 } \sec ^ { - 1 } \left| \frac { x } { 4 } \right| + C

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