Find the Indefinite Integral $\int \frac { x ^ { 2 } + 16 x + 6 } { x ^ { 3 } + 24 x ^ { 2 } + 18 x - 1 } d x$

question 62

Multiple Choice

Find the indefinite integral. $\int \frac { x ^ { 2 } + 16 x + 6 } { x ^ { 3 } + 24 x ^ { 2 } + 18 x - 1 } d x$

• A) \(\frac { 1 } { 3 } \ln \left| x ^ { 3 } + 24 x ^ { 2 } + 18 x - 1 \right| + C\)
• B) \(\ln \left| x ^ { 3 } + 24 x ^ { 2 } + 18 x - 1 \right| + C\)
• C) \(\frac { 1 } { 3 } \ln \sqrt [ 3 ] { \left| x ^ { 3 } + 24 x ^ { 2 } + 18 x - 1 \right| } + C\)
• D) \(3 \ln \left| x ^ { 2 } + 16 x + 6 \right| + C\)
• E) \(\ln \sqrt { \left| x ^ { 3 } + 24 x ^ { 2 } + 18 x - 1 \right| } + C\)

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