Question

Integrate 1/(xln(x))

Answer 1

let u = lnx

Answer 2

^hint

Answer 3

I know that part

Answer 4

so what part dont you know?

Answer 5

i've been out of university for a year and now i can't remember how to do simple integration.
i recall that i need to find du/dx
du/dx = 1/x
du = 1/x (dx)
no idea what to do next

Answer 6

good...so \[\frac{1}{x\ln x} = \frac{du}{u}\]