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Can i solve using partial fractions?

  1. Oct 12, 2013 #1
    1. The problem statement, all variables and given/known data

    ∫(x+1)/(x2+2x+3)dx

    3. The attempt at a solution

    This problem was under partial fractions in my book. I solved it using u-substitution where u=x2+2x+3, but i can't see how it can be solved using partial fractions?

    can it?
     
  2. jcsd
  3. Oct 12, 2013 #2

    SteamKing

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    Yeah, you could, but it's a lot of extra work.

    Hint: Complete the square in the denominator.
     
  4. Oct 12, 2013 #3
    (x^2+2x+3)=(x+3)(x+1)?
     
  5. Oct 12, 2013 #4
    no, i see thats not right..
     
  6. Oct 12, 2013 #5
    I get that (x^2+2x+3) = (-1-√2i)(-1+√2i).
     
  7. Oct 12, 2013 #6
    but their complex... will this work?
     
  8. Oct 12, 2013 #7
    sorry, (x^2+2x+3) = (x+1+√2i)(x+1-√2i).
     
  9. Oct 12, 2013 #8

    SteamKing

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