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Lebesgue integral

  1. Nov 22, 2012 #1
    1. The problem statement, all variables and given/known data
    use the Lebesgue monotone convergence theorem to prove the following equality (attached)


    2. Relevant equations
    Lebesgue monotone convergence theorem


    3. The attempt at a solution
    i tried to identify a suitable monotonic sequence,from power series.
     

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  3. Nov 22, 2012 #2

    Ray Vickson

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    The integral is not clear (poor quality image). Is it
    [tex] \int_0^1 \frac{x^p}{x-1} \log (x) dx? [/tex] Do you mean dm(x) = dx?

    RGV
     
  4. Nov 22, 2012 #3
    yes,this is correct.
    I already solved .Thank's a lot.
     
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