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Express the Integrand as a Sum of Partial Fractions and Evaluate

Question 338

Multiple Choice

Express the integrand as a sum of partial fractions and evaluate the integral.
- 72dxx39x\int \frac { 72 d x } { x ^ { 3 } - 9 x }


A) 8x+4lnx3+4lnx+3+C- \frac { 8 } { x } + 4 \ln | x - 3 | + 4 \ln | x + 3 | + C
B) 8lnx4lnx34lnx+3+C8 \ln | x | - 4 \ln | x - 3 | - 4 \ln | x + 3 | + C
C) 8lnx+4lnx3+4lnx+3+C- 8 \ln | x | + 4 \ln | x - 3 | + 4 \ln | x + 3 | + C
D) 8lnx+13tan1x3+C- 8 \ln | x | + \frac { 1 } { 3 } \tan ^ { - 1 } \frac { x } { 3 } + C

Correct Answer:

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