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Integrate (1+(1/x))^x

  1. Feb 20, 2016 #1
    1. The problem statement, all variables and given/known data
    ∫(1+(1/x))^x dx

    2. Relevant equations
    How do I integrate this compound intrest e approximation

    3. The attempt at a solution
    Inside: x + ln(|x|) + C
    Outside: (a^x)/(ln(a))
  2. jcsd
  3. Feb 20, 2016 #2


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    I would be extremely susprised if it has a closed form for the integral.
  4. Feb 20, 2016 #3
    Thanks. I'm new and don't know a lot.. However the ti-84 will give me a value for a definite integral. I don't know how.
  5. Feb 20, 2016 #4

    Ray Vickson

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    Exactly what definite integral are you entering? That is, what are the integration limits? Is the answer "symbolic" or "numerical"?
  6. Feb 20, 2016 #5


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    Staff: Mentor

    A specific definite integral can be way easier than an analytic expression for the indefinite integral.
  7. Feb 20, 2016 #6
    Oh okay. Thanks.
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