Express the Integrand as a Sum of Partial Fractions and Evaluate

question 2

Multiple Choice

Express the integrand as a sum of partial fractions and evaluate the integral.
- $$\int \frac { 4 x ^ { 4 } + 36 x ^ { 2 } + 72 } { x \left( x ^ { 2 } + 6 \right) ^ { 2 } } d x$$

• A) \(2 \ln | x | + \ln \left| x ^ { 2 } + 6 \right| - \frac { 4 } { x ^ { 2 } + 6 } + C\)
• B) \(2 \ln | x | - \frac { 4 } { x ^ { 2 } + 6 } + C\)
• C) \(2 \ln | x | + \ln \left| x ^ { 2 } + 6 \right| + C\)
• D) \(8 \ln | x | + \ln \left| x ^ { 2 } + 6 \right| + C\)