Answer
$\dfrac {\left( \ln x\right) ^{5}}{5}+C$
Work Step by Step
$v=\ln x\Rightarrow dv=\dfrac {1}{x}dx$
$$\int \dfrac {\left( \ln x\right) ^{4}}{x}dx=\int \left( \ln x\right) ^{4}\times \dfrac {1}{x}dx=\int v^{4}dv=\dfrac {v^{5}}{5}+C=\dfrac {\left( \ln x\right) ^{5}}{5}+C$$
