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Integrate the Function dx9x2121,x>113\int \frac { \mathrm { dx } } { \sqrt { 9 \mathrm { x } ^ { 2 } - 121 } } , x > \frac { 11 } { 3 }

Question 67

Multiple Choice

Integrate the function.
- dx9x2121,x>113\int \frac { \mathrm { dx } } { \sqrt { 9 \mathrm { x } ^ { 2 } - 121 } } , x > \frac { 11 } { 3 }


A) 13ln32x+119x2121+C\frac { 1 } { 3 } \ln \left| \frac { 3 } { 2 } x + \frac { 11 } { \sqrt { 9 x ^ { 2 } - 121 } } \right| + C
B) 13lnsec1(113x) +9x212111+C\frac { 1 } { 3 } \ln \left| \sec ^ { - 1 } \left( \frac { 11 } { 3 } x \right) + \frac { \sqrt { 9 x ^ { 2 } - 121 } } { 11 } \right| + C
C) 111ln113x+9x21213+C\frac { 1 } { 11 } \ln \left| \frac { 11 } { 3 } x + \frac { \sqrt { 9 x ^ { 2 } - 121 } } { 3 } \right| + C
D) 13ln311x+9x212111+C\frac { 1 } { 3 } \ln \left| \frac { 3 } { 11 } x + \frac { \sqrt { 9 x ^ { 2 } - 121 } } { 11 } \right| + C

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