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: Determine the integral

  1. Jan 18, 2009 #1
    Please help. How do you solve this attachment.php?attachmentid=17226&stc=1&d=1232309454.jpg

    Attached Files:

  2. jcsd
  3. Jan 18, 2009 #2
    This seems to involve the elliptical integral according to maple...
  4. Jan 18, 2009 #3
    First, separate out the easy parts; write the integrand as:

    (1/e2)e1/(2x) + 4x

    Integrate 4x separately, = 2x2

    Lookup the integral of e1/(2x) (! I found it on Mathematica, here:



    Your result will be (1/e2)[The integral you found...] + 2x2

    BTW: Wolfram/Mathematica does find that the answer includes a so-called "Exponential Integral".
    Last edited by a moderator: Apr 24, 2017
  5. Jan 19, 2009 #4
    Oops I meant exponential not elliptical :)
  6. Jan 19, 2009 #5


    User Avatar
    Gold Member

    The bigger question is how to solve an integral exp(ax^q) where q isn't null and isn't 1, I don't think there's a prescription to it.
    are you sure it shouldn't be xexp(1/x), cause this can be computed by changing 1/x=u and a series change.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook