Express the Integrand as a Sum of Partial Fractions and Evaluate

question 82

Multiple Choice

Express the integrand as a sum of partial fractions and evaluate the integral.
- $$\int \frac { 3 x ^ { 2 } - 11 x + 4 } { x ^ { 3 } - 3 x ^ { 2 } + 2 x } d x$$

• A) \(2 \ln | x | - 3 \ln | x - 2 | + 4 \ln | x - 1 | + C\)
• B) \(2 \ln | x | + 4 \ln | x - 2 | - 3 \ln | x - 1 | + C\)
• C) \(\ln | x | - \ln | x - 2 | + \ln | x - 1 | + C\)
• D) \(- 3 \ln | x - 2 | + 4 \ln | x - 1 | + C\)

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