Express the Integrand as a Sum of Partial Fractions and Evaluate

question 78

Multiple Choice

Express the integrand as a sum of partial fractions and evaluate the integral.
- $$\int \frac { 5 x + 12 } { x ^ { 3 } + 4 x ^ { 2 } + 4 x } d x$$

• A) \(3 \ln \left| \frac { x } { x + 2 } \right| + \frac { 1 } { x + 2 } + C\)
• B) \(2 \ln \left| \frac { x } { x + 2 } \right| - \frac { 1 } { x + 2 } + C\)
• C) \(3 \ln \left| \frac { x } { x + 2 } \right| - \frac { 6 } { x + 2 } + C\)
• D) \(3 \ln \left| \frac { x } { x + 2 } \right| + \frac { 5 } { x + 2 } + C\)

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