Expert: Paul Klarreich - 11/3/2008

Question
QUESTION: what is the integration of
exlogx

ANSWER: Hi, Sabir,

For
{
| e^x log x dx
}

There is no easy way to do this.  Try repeated (many times) integration by parts.



---------- FOLLOW-UP ----------

QUESTION: dear sir
i hav alredy tried it but fails to get any final solution.
so if u have any sol. of it then plz tell me.

Answer
Questioner:   sabir
Category:  Calculus
Private:  No
 
Subject:  Integration by Parts
Question:  QUESTION: what is the integration of
exlogx

ANSWER: Hi, Sabir,

For
{
| e^x log x dx
}

There is no easy way to do this.  Try repeated (many times) integration by parts.



---------- FOLLOW-UP ----------

QUESTION: dear sir
i hav alredy tried it but fails to get any final solution.
so if u have any sol. of it then plz tell me.
 
...................................
Sorry, Sabir,

I don't have anything better.  I tried a site called THE INTEGRATOR, with no (useful) luck.  It gives me:

Integrate[Exp[x]*Log[x], x] ==  -ExpIntegralEi[x] + E^x*Log[x]

Try it at:

http://integrals.wolfram.com/index.jsp