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Homework Help: Integrating ln(3x)

  1. Sep 25, 2014 #1
    1. The problem statement, all variables and given/known data

    Integrate: (8)/(xln(3x))dx

    2. Relevant equations

    3. The attempt at a solution

    I seperated the equations into 8/x and 1/(ln3x). I sub u for ln(3x) and I got 1/x for du. Since I had 8/x, I made it 8du. So the new integration will be 8/udu. I integrated so it will be 8lnu and then it will become 8ln(ln3x). What's next?
  2. jcsd
  3. Sep 25, 2014 #2


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    Science Advisor
    Homework Helper
    Gold Member

    Not much. Just add the constant of integration. And you might want absolute value bars:$$
    8\ln |\ln(3x)|+C$$
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