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

question 11

Multiple Choice

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

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

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