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The Integral x+2x2(x+1)dx\int \frac { x + 2 } { x ^ { 2 } ( x + 1 ) } d x

Question 20

Multiple Choice

The integral x+2x2(x+1) dx\int \frac { x + 2 } { x ^ { 2 } ( x + 1 ) } d x is


A) lnx+1x2x+C\ln \left| \frac { x + 1 } { x } \right| - \frac { 2 } { x } + C
B) lnx+1x+2x+C\ln \left| \frac { x + 1 } { x } \right| + \frac { 2 } { x } + C
C) lnx+1x2x+C- \ln \left| \frac { x + 1 } { x } \right| - \frac { 2 } { x } + C
D) lnx+1x+2x+C- \ln \left| \frac { x + 1 } { x } \right| + \frac { 2 } { x } + C
E) lnx+1x1x+C\ln \left| \frac { x + 1 } { x } \right| - \frac { 1 } { x } + C

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