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Evaluate the Integral t4ln(t5+4)t5+4dt\int \frac { t ^ { 4 } \ln \left( t ^ { 5 } + 4 \right) } { t ^ { 5 } + 4 } d t

Question 398

Multiple Choice

Evaluate the integral.
- t4ln(t5+4) t5+4dt\int \frac { t ^ { 4 } \ln \left( t ^ { 5 } + 4 \right) } { t ^ { 5 } + 4 } d t


A) t5ln(t5+4) t5+4+C\frac { t ^ { 5 } \ln \left( t ^ { 5 } + 4 \right) } { t ^ { 5 } + 4 } + C
B) [ln(t5+4) ]210+C\frac { \left[ \ln \left( t ^ { 5 } + 4 \right) \right] ^ { 2 } } { 10 } + C
C) (lnt) 210+C\frac { ( \ln t ) ^ { 2 } } { 10 } + C
D) [ln(t5+4) ]2+C\left[ \ln \left( t ^ { 5 } + 4 \right) \right] ^ { 2 } + C

Correct Answer:

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