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Integration problem

  • Thread starter mdnazmulh
  • Start date
  • #1
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Homework Statement



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.

Homework Equations



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

The Attempt at a Solution


Homework Statement





Homework Equations





The Attempt at a Solution

 

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Answers and Replies

  • #2
HallsofIvy
Science Advisor
Homework Helper
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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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