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The Integral 19x24dx\int \frac { 1 } { 9 x ^ { 2 } - 4 } d x

Question 55

Multiple Choice

The integral 19x24dx\int \frac { 1 } { 9 x ^ { 2 } - 4 } d x is


A) ln3x23x+24+C\frac { \ln \left| \frac { 3 x - 2 } { 3 x + 2 } \right| } { 4 } + C
B) ln3x23x+24+C- \frac { \ln \left| \frac { 3 x - 2 } { 3 x + 2 } \right| } { 4 } + C
C) ln3x23x+212+C- \frac { \ln \left| \frac { 3 x - 2 } { 3 x + 2 } \right| } { 12 } + C
D) ln3x23x+212+C\frac { \ln \left| \frac { 3 x - 2 } { 3 x + 2 } \right| } { 12 } + C
E) ln3x23x+26+C\frac { \ln \left| \frac { 3 x - 2 } { 3 x + 2 } \right| } { 6 } + C

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