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Integral x/(1-x) via power series?

  1. Nov 11, 2016 #1
    • Member warned that the homework template is required
    So, ∫x/(1-x)... can I solve this as a power series

    ∫(x*Σ x^n) = ∫(Σ x^(n+1))= (1/(n+2)*Σ x^(n+2))?

    Is this correct? I know there is other ways to do it... But should this be correct on a test? This solution is more fun..
     
  2. jcsd
  3. Nov 11, 2016 #2

    Ray Vickson

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    More fun than what? More fun than the exact expression? Is a solution of limited applicability (i.e., is correct only for limited values of x) preferable to one that applies to all x ≠ 1?
     
    Last edited: Nov 11, 2016
  4. Nov 11, 2016 #3
    Ha. Good point.
     
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