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.
- $$\int \frac { 60 } { t ^ { 3 } + 4 t ^ { 2 } - 5 t } d t$$

• A) \(- 12 \ln | t | + 10 \ln | t - 1 | + 2 \ln | t + 5 | + C\)
• B) \(- 12 \ln | t | + 10 \ln \left| t ^ { 2 } - 1 \right| + C\)
• C) \(- 2 \ln | t | + 10 \ln | t - 1 | - 2 \ln | t + 5 | + C\)
• D) \(- \frac { 12 } { t } + 10 \ln | t - 1 | + 2 \ln | t + 5 | + C\)

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