Consider the following code:
f[x_] := g[x]/g'[x]
FullSimplify[Integrate[f[x], x]]
So I have the code above but when I run it it gives me back some random expression. I'm trying to make it return something in terms of g(x) but it won't.
How would I make it give me F(x) in terms of g(x)?
1/4 (x^2 + 2 Log[x])
^ What it returns when I run the code. Where is it getting that from?