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Integration by Partial Fractions

  1. Sep 21, 2008 #1
    1. The problem statement, all variables and given/known data
    \int {\frac{{e^t dt}}
    {{e^{2t} + 3e^t + 2}}}

    I'm not quite sure how to start this one......Any hints? I tried bringing e^t down to the denominator and multiplying it out which still didn't help. I can't see a way to factor the denominator or split this into a partial fraction.

    Thank you.
  2. jcsd
  3. Sep 21, 2008 #2


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    Homework Helper

    Why can't you factor the denominator? Denote x = e^t. Can you do it now?
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