1 / sqrt(2x)

I tried splitting things up but I'm just running myself in circles at this point. Two methods I tried are:

pulling 1/sqrt(2) out so I get

1/sqrt(2) * 1/sqrt(x) <---But I can't integrate that

I also tried to rationalize by multiplying top and bottom by sqrt(2x) but I just end up with something I still can't integrate.

A really convoluted thing I did was change the sqrt(2x) to 2x^1/2

Separate 1/2 out of that so I get 1/2 * x^-1/2 and integrate from there. No luck, as I just end up with 2sqrt(x) / 2, which is not the right answer. Can anyone shed some light on this?

p.s. - sorry, I'm not quite sure how to use pretty print, u-sub is in the next section so i'm trying to do it the hard way first.