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How to perform an integral with a polynomial and a radical?

  1. Oct 30, 2013 #1
    1. The problem statement, all variables and given/known data

    kuwnk.png

    2. Relevant equations



    3. The attempt at a solution

    How did they go from the first step in the blue to the second step in the blue?

    I tried integration by parts but that didn't work.
     
  2. jcsd
  3. Oct 30, 2013 #2
    I suck at integration... that was such an easy one. =[

    I tried for several papers to do substitution ##u=x^{1/3}##.
     
  4. Oct 30, 2013 #3

    Dick

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    They took a factor of x^(-2/3) outside of the radical where it becomes x^(-1/3). Then just u substitution u=x^(2/3). Sorry, I accidentally deleted my first post while editing. So this is out of order.
     
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