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Integrate the Function x216xdx\int \frac { \sqrt { x ^ { 2 } - 16 } } { x } d x

Question 78

Multiple Choice

Integrate the function.
- x216xdx\int \frac { \sqrt { x ^ { 2 } - 16 } } { x } d x


A) 4[x2164sec1(x4) ]+C4 \left[ \frac { \sqrt { x ^ { 2 } - 16 } } { 4 } - \sec ^ { - 1 } \left( \frac { x } { 4 } \right) \right] + C
B) [x21616sec1(x4) ]+C\left[ \frac { \sqrt { x ^ { 2 } - 16 } } { 16 } - \sec ^ { - 1 } \left( \frac { x } { 4 } \right) \right] + C
C) 4lnx216(x4) +C4 \ln \left| \sqrt { x ^ { 2 } - 16 } - \left( \frac { x } { 4 } \right) \right| + C
D) 4[x2164sin1(x4) ]+C4 \left[ \frac { \sqrt { x ^ { 2 } - 16 } } { 4 } - \sin ^ { - 1 } \left( \frac { x } { 4 } \right) \right] + C

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