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The Integral x2x22x3dx\int \frac { x ^ { 2 } } { x ^ { 2 } - 2 x - 3 } d x

Question 23

Multiple Choice

The integral x2x22x3dx\int \frac { x ^ { 2 } } { x ^ { 2 } - 2 x - 3 } d x is


A) 4xlnx+1+9lnx34+C\frac { 4 x - \ln | x + 1 | + 9 \ln | x - 3 | } { 4 } + C
B) 4x+lnx+1+9lnx34+C\frac { 4 x + \ln | x + 1 | + 9 \ln | x - 3 | } { 4 } + C
C) 4x+lnx+19lnx34+C\frac { 4 x + \ln | x + 1 | - 9 \ln | x - 3 | } { 4 } + C
D) 4xlnx+1+9lnx34+C- \frac { 4 x - \ln | x + 1 | + 9 \ln | x - 3 | } { 4 } + C
E) 4xlnx1+9lnx34+C- \frac { 4 x - \ln | x - 1 | + 9 \ln | x - 3 | } { 4 } + C

Correct Answer:

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