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Evaluate the Integral Using Integration by Parts ∫x4ln⁡xdx\int x ^ { 4 } \ln x d x

Question 97

Multiple Choice

Evaluate the integral using integration by parts.
- ∫x4ln⁡xdx\int x ^ { 4 } \ln x d x


A) x5x ^ { 5 } (15ln⁡x−15) \left( \frac { 1 } { 5 } \ln x - \frac { 1 } { 5 } \right) + C
B) x5x ^ { 5 } (15ln⁡x−125) \left( \frac { 1 } { 5 } \ln x - \frac { 1 } { 25 } \right) + C
C) x5x ^ { 5 } 15ln⁡x−1\frac { 1 } { 5 } \ln x - 1 + C
D) x5x ^ { 5 } (5ln⁡x−125) \left( 5 \ln x - \frac { 1 } { 25 } \right) + C

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