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Find the Indefinite Integral x2+18x+2x3+27x2+6xdx\int \frac { x ^ { 2 } + 18 x + 2 } { x ^ { 3 } + 27 x ^ { 2 } + 6 x } d x

Question 11

Multiple Choice

Find the indefinite integral. x2+18x+2x3+27x2+6xdx\int \frac { x ^ { 2 } + 18 x + 2 } { x ^ { 3 } + 27 x ^ { 2 } + 6 x } d x


A) 13lnx3+27x2+6x+C\frac { 1 } { 3 } \ln \left| x ^ { 3 } + 27 x ^ { 2 } + 6 x \right| + C
B) 13lnx3+27x2+6x+C- \frac { 1 } { 3 } \ln \left| x ^ { 3 } + 27 x ^ { 2 } + 6 x \right| + C
C) lnx3+27x2+6x+C\ln \left| x ^ { 3 } + 27 x ^ { 2 } + 6 x \right| + C
D) 3lnx3+27x2+6x+C- 3 \ln \left| x ^ { 3 } + 27 x ^ { 2 } + 6 x \right| + C
E) lnx3+27x2+6x+C- \ln \left| x ^ { 3 } + 27 x ^ { 2 } + 6 x \right| + C

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