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Integration of exponential

  1. Dec 7, 2011 #1
    1. The problem statement, all variables and given/known data

    integrate the function F(t)=1-exp(-∫1/t+2 dt) limit of integration from 0 to t

    2. Relevant equations



    3. The attempt at a solution

    F(t)=1-exp(-ln(t+2)+ln2)
    =1-exp(ln(2-t))*exp(ln2)
    =1+2t-4
    =2t-3

    what do you think about my solutions?
     
  2. jcsd
  3. Dec 7, 2011 #2

    LCKurtz

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    I think it is full of mistakes. For one thing, it isn't clear whether your original exponential is[tex]e^{-\int {\frac 1 t + 2}\, dt}\hbox{ or } e^{-\int \frac{1}{t+2}\,dt}[/tex] In your first step you have treated it both ways and you are careless with your - signs and simplification. Try again.
     
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