Find the Integral Using Integration by Parts $$\int x ^ { 4 } \ln x d x$$

Multiple Choice

Find the integral using integration by parts. $$\int x ^ { 4 } \ln x d x$$

A) $\int x ^ { 4 } \ln x d x = \frac { 1 } { 25 } ( 5 \ln x - x ) + C$
B) $\int x ^ { 4 } \ln x d x = x ^ { 5 } ( 5 \ln x - 1 ) + C$
C) $\int x ^ { 4 } \ln x d x = \frac { 1 } { 25 } x ^ { 5 } ( 5 \ln x - 1 ) + C$
D) $\int x ^ { 4 } \ln x d x = \frac { 1 } { 25 } x ^ { 5 } ( 5 \ln x - x ) + C$
E) $\int x ^ { 4 } \ln x d x = \frac { 1 } { 25 } ( \ln x - 1 ) + C$