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Proof by integrating Bionomial Theorem

  1. Mar 1, 2012 #1
    1. The problem statement,

    Prove that for any n[itex]\in[/itex]N and any real umber x,
    [itex]\sum\stackrel{n}{i=0}[/itex][itex]\left(\stackrel{n}{i}\right)[/itex][itex]\frac{x^{i+1}}{i+1}=[/itex][itex]\frac{1}{n+1}((1+x)^{n+1}-1)[/itex]


    2.
    I tried to integrate both sides of Bionomial Theorem
    However, I'm not sure what to do at the first place. :(
     
  2. jcsd
  3. Mar 1, 2012 #2

    Office_Shredder

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    There are some 0s and ns floating around that I think are misplaced
     
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