Express the Integrand as a Sum of Partial Fractions and Evaluate

question 168

Multiple Choice

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

• A) \(\frac { 3 } { 2 } \ln \left| x ^ { 9 } ( x + 6 ) ^ { 3 } \right| + C\)
• B) \(\ln \left| \frac { x ^ { 9 } } { ( x + 6 ) ^ { 3 } } \right| + C\)
• C) \(\frac { 1 } { 6 } \ln \left| x ^ { 9 } ( x + 6 ) ^ { 3 } \right| + C\)
• D) \(\frac { 1 } { 6 } \ln \left| \frac { x ^ { 9 } } { ( x + 6 ) ^ { 3 } } \right| + C\)

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