$\text { Find the indefinite integral } \int \frac { x ^ { 2 } } { 4 x ^ { 3 } + 9 } d x \text {. }$

question 41

Multiple Choice

$\text { Find the indefinite integral } \int \frac { x ^ { 2 } } { 4 x ^ { 3 } + 9 } d x \text {. }$

• A) \(\frac { x ^ { 3 } } { 4 x ^ { 4 } + 9 x } + C\)
• B) \(\ln \left| 4 x ^ { 3 } + 9 \right| + C\)
• C) \(\frac { 1 } { 4 } \ln \left| 4 x ^ { 3 } + 9 \right| + C\)
• D) \(\frac { 1 } { 12 } \ln \left| 4 x ^ { 3 } + 9 \right| + C\)
• E) \(12 \ln \left| 4 x ^ { 3 } + 9 \right| + C\)

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