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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.
- 3x+17x2+9x+20dx\int \frac { 3 x + 17 } { x ^ { 2 } + 9 x + 20 } d x


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

Correct Answer:

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