1. Not finding help here? Sign up for a free 30min 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!

Integral from 1 to infinity of 1 / xln(third root of x)

  1. Nov 14, 2007 #1
    1. The problem statement, all variables and given/known data

    Integral from 1 to infinity of 1 / xln(third root of x)

    2. Relevant equations

    n/a

    3. The attempt at a solution

    I tried to find if it diverged and then got lost after that

    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Nov 14, 2007 #2
    if it diverges then that's the final answer. But can you post your work? maybe you did a mistake. But I think it is supposed to diverge.
     
  4. Nov 14, 2007 #3
    well you see there bob im not too sure how to get started and what to do with the ln
     
  5. Nov 14, 2007 #4

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    If you don't know what to do, then you don't know it diverges, right? Try a substitution u=ln(x).
     
  6. Nov 21, 2007 #5
    Dick: I did u = ln(x) and du = 1/x

    so int from 1 to 0 ln(third root of u)du

    = - in from 0 to 1 ln(third root of u)du

    I always mix up these substitutions.
     
  7. Nov 21, 2007 #6

    Gib Z

    User Avatar
    Homework Helper

    Note: [tex]\log_a b^x = x \log_a b[/tex] where a, b and x are real numbers, (a,b) > 0.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Integral from 1 to infinity of 1 / xln(third root of x)
Loading...