How do you integrate ln(x)?

I would use the whiteboard and write down y=lnx, and also the integration by parts formula below it. I would then explain how to treat ln(x) as the "u" and "1" as dv/dx; including why this works and the logic behind why. I would then proceed to differentiate u with respect to x to obtain 1/x and integrate dv/dx with respect to x to obtain v = x. Subsequently, I would apply the formula, explaining this part slowly and what I'm doing; if the student does not understand then I would state the "elementary" integrals that are required as common knowledge.Finally, I would ask if the student has any doubts and go through anything they ask, and then personally go through some examples of slight alterations regarding this integral and then set some question(s) for the student to try, if they wish.