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Express the Integrand as a Sum of Partial Fractions and Evaluate

Question 333

Multiple Choice

Express the integrand as a sum of partial fractions and evaluate the integral.
- 60t3+4t25tdt\int \frac { 60 } { t ^ { 3 } + 4 t ^ { 2 } - 5 t } d t


A) 12lnt+10lnt1+2lnt+5+C- 12 \ln | t | + 10 \ln | t - 1 | + 2 \ln | t + 5 | + C
B) 12lnt+10lnt21+C- 12 \ln | t | + 10 \ln \left| t ^ { 2 } - 1 \right| + C
C) 2lnt+10lnt12lnt+5+C- 2 \ln | t | + 10 \ln | t - 1 | - 2 \ln | t + 5 | + C
D) 12t+10lnt1+2lnt+5+C- \frac { 12 } { t } + 10 \ln | t - 1 | + 2 \ln | t + 5 | + C

Correct Answer:

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