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Integration techniques

  1. Oct 12, 2009 #1
    [tex]
    \int \frac{x^{1/2}}{1+x^{1/3}}
    [/tex]
    not sure how to start here
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Oct 12, 2009 #2
    Put x = t^6
     
  4. Oct 12, 2009 #3

    rock.freak667

    User Avatar
    Homework Helper

    try a trig substitution like x=atan6θ. Can't really say what a good value for 'a' would be so.
     
  5. Oct 12, 2009 #4

    Mark44

    Staff: Mentor

    I think Count Iblis's suggestion is a good one.

    Also, you should get into the habit of including the differential in your integrals, like this:
    [tex]\int \frac{x^{1/2}}{1+x^{1/3}}dx[/tex]
    If you consistently leave it out, you'll set yourself up for big problems when you integrate using trig substitutions and other techniques.
     
  6. Oct 12, 2009 #5
    Like Count Iblis, I was going to suggest changing variables.
     
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