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The Integral x2+1x(x24)dx\int \frac { x ^ { 2 } + 1 } { x \left( x ^ { 2 } - 4 \right) } d x

Question 25

Multiple Choice

The integral x2+1x(x24) dx\int \frac { x ^ { 2 } + 1 } { x \left( x ^ { 2 } - 4 \right) } d x is


A) 5lnx242lnx2+C\frac { 5 \ln \left| x ^ { 2 } - 4 \right| - 2 \ln | x | } { 2 } + C
B) 5lnx24+2lnx4+C\frac { 5 \ln \left| x ^ { 2 } - 4 \right| + 2 \ln | x | } { 4 } + C
C) 5lnx242lnx4+C\frac { 5 \ln \left| x ^ { 2 } - 4 \right| - 2 \ln | x | } { 4 } + C
D) 5lnx24+2lnx8+C\frac { 5 \ln \left| x ^ { 2 } - 4 \right| + 2 \ln | x | } { 8 } + C
E) 5lnx242lnx8+C\frac { 5 \ln \left| x ^ { 2 } - 4 \right| - 2 \ln | x | } { 8 } + C

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