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: How do i find the value of p for this integration?

  1. Apr 13, 2009 #1
    using the integral, find the values of "p" so that the series converges

    [tex]\sum[/tex]1/(ln(n)*np) (n=2 to ∞)

    i had a similar question in which case i had

    and there i simply said t=lnx dt=dx/x


    and from there it was really simple, but in the case of this question i have been trying and trying and just cant get it
  2. jcsd
  3. Apr 13, 2009 #2
    Use the same substitution and write:

    [tex] n^p = e^{p \ln n} = e^{pt}[/tex]
  4. Apr 13, 2009 #3
    i tried that, but i got stuck, didnt think it was the right way to go, can you help me continue??
    for integration n=x


    now for conveniance i say q=p-1


    how do i continue this integration?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook