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Problem With Integration

  1. Mar 2, 2005 #1
    How do I integrate this? e^[1 / (1 + t)] dt?
     
  2. jcsd
  3. Mar 2, 2005 #2

    arildno

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    Short answer: Numerically.
    There exist no nice anti-derivative to this function.
     
  4. Mar 2, 2005 #3
    I see... so this could be the same case as that of (sinx / x) dx...
     
  5. Mar 2, 2005 #4

    dextercioby

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    Long answer:
    [tex]\allowbreak \left( 1+x\right) e^{\frac 1{1+x}}+\func{Ei}\left( 1,-\frac 1{1+x}\right) +C [/tex]

    Daniel.
     
  6. Mar 2, 2005 #5

    dextercioby

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    Yes,there is a connection between Ei (exp.integral) and Si (sinus integral).

    Daniel.

    P.S.Chack the wolfram site for more.
     
  7. Mar 2, 2005 #6

    arildno

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    I'd rather say apparently short answer..
     
  8. Mar 2, 2005 #7

    dextercioby

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    Yes,"apparently" is a well placed word...:wink:

    Daniel.

    P.S.Anyways,the # of characters from the code is much bigger than the # of letters from "numerically"...
     
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