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Calculate the following symbolic integral?

Posted 6 years ago

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?

POSTED BY: Nick Arnold
10 Replies
POSTED BY: Gianluca Gorni
POSTED BY: John Doty
POSTED BY: Henrik Schachner
Posted 6 years ago

Fair enough, I was trying to find a general form for the function whose derivative is the inverse of the derivative of log[g(x)]

POSTED BY: Nick Arnold
POSTED BY: Gianluca Gorni
Posted 6 years ago
POSTED BY: Nick Arnold

What is g[x]?

POSTED BY: Murray Eisenberg
Posted 6 years ago

I don't have it set to anything, I want it to be generic and just give F(x) in terms of g(x) and it's derivatives so that that stuff can just be plugged in. I want it to just be symbolic

POSTED BY: Nick Arnold
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