# Thread:

1. ## How to you evaluate an indefinite integral with lnx?

antiderivative(ln5x/x)dx

i know ln5x(dx)=1/5x but not sure how to go about solving this

2. This is hard to read, is it

$\displaystyle \int{\frac{\ln{(5x)}}{x}\,dx}?$

If so, $\displaystyle \int{\frac{\ln{(5x)}}{x}\,dx} = \int{\ln{(5x)}\,\frac{1}{x}\,dx}$.

Now make the substitution $\displaystyle u = \ln{(5x)}$ so that $\displaystyle \frac{du}{dx} = \frac{1}{x}$.
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