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## Homework Statement

I am unsure how to differentiate ln(x).

## Homework Equations

[tex]\int[/tex] dx/ (x log

_{e}x)

## The Attempt at a Solution

I let u = log

_{e}x

So it became:

[tex]\int[/tex] x

^{-1}u

^{-1}dx

To integrate I now need to find du/dx... which means differentiate ln(x). How does this work out?