Question

How do I show that I know the integral of ln(x)?

Answer 1

\[\int\limits_{a}\ln(x){b} = ?\]

Answer 2

Do it by parts.

Answer 3

And how do I do that?

Answer 4

u=lnx dv=dx
du=dx v=x

Answer 5

Do you know what integration by parts is?

Answer 6

I think I do, but I cant recognize the term.

Answer 7

sorry, du=1/x dx

Answer 8

\[\int\limits v\frac{\mathbb{d}u}{\mathbb{d}x} = uv + \int\limits u\frac{\mathbb{d}v}{\mathbb{d}x}\]

Where u and v are functions of x.

Answer 9

Both of those integrations are with respect to x, I neglected to mention!

Answer 10

You're going to need to get comfortable with the integration by parts formula, as INewton posted above. Review this section in your book until it, along with the parts I posted above, make sense.