1. Apr 29, 2009 #1

   fallen186

   

   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

    

   fallen186, Apr 29, 2009
2. 
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3. Apr 29, 2009 #2

   Feldoh

   

   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.

    

   Feldoh, Apr 29, 2009
4. Apr 29, 2009 #3

   tnutty

   

   ∫(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

    

   tnutty, Apr 29, 2009

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