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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.
- x+9x2+6xdx\int \frac { x + 9 } { x ^ { 2 } + 6 x } d x


A) 32lnx9(x+6) 3+C\frac { 3 } { 2 } \ln \left| x ^ { 9 } ( x + 6 ) ^ { 3 } \right| + C
B) lnx9(x+6) 3+C\ln \left| \frac { x ^ { 9 } } { ( x + 6 ) ^ { 3 } } \right| + C
C) 16lnx9(x+6) 3+C\frac { 1 } { 6 } \ln \left| x ^ { 9 } ( x + 6 ) ^ { 3 } \right| + C
D) 16lnx9(x+6) 3+C\frac { 1 } { 6 } \ln \left| \frac { x ^ { 9 } } { ( x + 6 ) ^ { 3 } } \right| + C

Correct Answer:

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