Express the Integrand as a Sum of Partial Fractions and Evaluate

question 367

Multiple Choice

Express the integrand as a sum of partial fractions and evaluate the integral.
- $$\int \frac { 6 x - 12 } { x ^ { 2 } - 4 x - 5 } d x$$

• A) \(3 \ln | x - 5 | + 3 \ln | x + 1 | + C\)
• B) \(4 \ln | x - 5 | - 3 \ln | x + 1 | + C\)
• C) \(\ln | 3 ( x - 5 ) + 3 ( x + 1 ) | + C\)
• D) \(3 \ln | x + 5 | + 3 \ln | x - 1 | + C\)