Does this integral have an analytical solution?

[dullard]

dx/(x²*A*(ln(x)+B))

A and B are constants.

I don't want anyone wasting hours (including me). But if you have a computer program that can do it in a few seconds of effort, I'd like to know.

Solving it numerically is simple. I'd like to avoid that if possible. No matter how ugly the final answer.

 

[drinkmorejava]

looks like u subst. to me

 

[RapidSnail]

(e^B Ei(-B-log(x))/A)+constant

 

[chuckywang]

Let u = ln(x) + B, then du = dx/x

So the integral becomes: e^(B-u)/u du

I think that's a lot easier to integrate.

 

[dullard]

Thanks.

 

[Matthiasa]

Mathematica says

e^b*Ei(-b-ln(x))/(a)

 

[iCyborg]

http://integrals.wolfram.com/index.jsp?expr=1%2F(x^2*A*(log(x)+B))&random=false

 

[dullard]

Chuckywang's subsitution gave RapidSnail's result, which matches Wolfram's result from iCyborg's link.

I think I have it. That was the easy one, now to see if I can do the harder one. I'll use Wolfram for that.