Integral of the week #5

January 3rd, 2009 | Categories: general math, Problem of the week | Tags:

I’ve not done one of these for a while. Calculate the following indefinite integral.

\light \int W \left(\frac{1}{x} \right) \, dx

Where the W stands for the Lambert W function.

Full disclosure: I know the result and have verified it by differentiating but I don’t know how to obtain it.

Update: The solution has been posted here.

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  1. Simon
    January 4th, 2009 at 07:39
    Reply | Quote | #1

    Hi Mike,
    Thanks for the problem! I’ve sent you a pdf with my solution.
    For those that don’t know how to email you, look at:
    http://www.walkingrandomly.com/?p=53

    Simon

  2. Mike Croucher
    January 4th, 2009 at 09:43
    Reply | Quote | #2

    Hi simon,

    Great work – thanks for that! I can confirm that you have the correct result and I will be going through the pdf later today looking for typos but a quick scan suggests that everything is fine. I’ll wait a while before posting it in order to allow other people to have a go.

  3. gimmick
    January 22nd, 2009 at 02:34
    Reply | Quote | #3

    When will the pdf be posted? I’m interested :-)