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U-substitution Problem

  1. Apr 29, 2009 #1
    1. The problem statement, all variables and given/known data
    ∫(t+1)2/t2


    2. Relevant equations



    3. The attempt at a solution
    I don't see any possible way to substitute.
    ∫(t2+2t+1)/t2
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Apr 29, 2009 #2
    You don't need to do any substitution, just split up the fraction into three different terms, so you can evaluate three terms rather easily.
     
  4. Apr 29, 2009 #3
    ∫(t+1)^2/t^2

    =
    ∫ (t^2+2t+1 ) / t^2 dt

    =

    ∫ t^2/t^2 dt + ∫2t/t^2 dt + 1/t^2 dt

    take it from there
     
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