Express the Integrand as a Sum of Partial Fractions and Evaluate

question 180

Multiple Choice

Express the integrand as a sum of partial fractions and evaluate the integral.
- $$\int _ { 0 } ^ { 1 } \frac { x ^ { 3 } } { x ^ { 2 } + 6 x + 9 } d x$$

• A) \(36 \ln \left( \frac { 4 } { 3 } \right) - \frac { 35 } { 8 }\)
• B) \(9 \ln 4 - \frac { 71 } { 8 }\)
• C) \(27 \ln \left( \frac { 4 } { 3 } \right) - \frac { 31 } { 4 }\)
• D) \(27 \ln 4 - 9 \ln 3 + \frac { 31 } { 4 }\)

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