# How do you use integration by parts to find intln(x) dx?

By Integration by Parts: $\int u \mathrm{dv} = u v - \int v \mathrm{du}$,
Let $u = \ln x$ and $\mathrm{dv} = \mathrm{dx}$.
$R i g h t a r r o w \mathrm{du} = \frac{\mathrm{dx}}{x}$ and $v = x$
$\int \ln x \mathrm{dx} = x \ln x - \int \mathrm{dx} = x \ln x - x + C$,