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Homework Help: Integration problem

  1. May 1, 2008 #1
    1. The problem statement, all variables and given/known data

    I solved the integration problem but i am not sure whether my solution is correct or wrong. I attached the picture of the solution.. Kindly tell me whether it is correct or wrong.

    2. Relevant equations

    This was the problem :
    [tex]\int(1- \frac{x}{a} )^{\frac{1}{n}} x dx[/tex]
    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
     

    Attached Files:

  2. jcsd
  3. May 1, 2008 #2

    HallsofIvy

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    Science Advisor

    I didn't check the whole thing since your solution is far more complicated than necessary. After you have, correctly, [itex]\int z^{1/n}(a- z)dz[/itex], do NOT use "integration by parts", just multiply:
    [tex]\int (az^{1/n}- z^{1+1/n})dz= \int (az^{1/n}- z^{(n+1)/n})dz[/tex]
     
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