1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Integrating e^x /x using Laurent series

  1. Sep 27, 2006 #1
    How does one integrate [tex]\int_{}^{} \frac{e^x}{x}dx[/tex]

    I could expand it using a Laurent series and than integrating term by term but are there more elementary methods?
    Last edited: Sep 27, 2006
  2. jcsd
  3. Sep 27, 2006 #2
    This just keeps expanding. Using ILATE, the algebraic part should be u, but this just keeping increasing in the power on the bottom. I don't think it's a good candidate for parts.

    Edit: I'm not sure what happened to that post. Disregard I guess.
  4. Sep 29, 2006 #3


    User Avatar
    Science Advisor
    Homework Helper


    [tex]\int \frac{e^{x}}{x} \ dx =\mbox{Ei}\left(x)[/tex]

    you can search Abramowitz & Stegun's book on series expansion for this function.

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook