Express the Integrand as a Sum of Partial Fractions and Evaluate

question 381

Multiple Choice

Express the integrand as a sum of partial fractions and evaluate the integral.
- $$\int \frac { 3 x + 17 } { x ^ { 2 } + 9 x + 20 } d x$$

• A) \(\ln \left| \frac { ( x + 4 ) ^ { 6 } } { ( x + 5 ) ^ { 5 } } \right| + C\)
• B) \(\ln \left| \frac { ( x + 4 ) ^ { 3 } } { ( x + 5 ) ^ { 5 } } \right| + C\)
• C) \(\ln \left| \frac { ( x + 4 ) ^ { 2 } } { ( x + 5 ) ^ { 5 } } \right| + C\)
• D) \(\ln \left| \frac { ( x + 4 ) ^ { 5 } } { ( x + 5 ) ^ { 2 } } \right| + C\)