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Any solution to quasi-gaussian integral ?

  1. Jun 17, 2005 #1
    Hello everybody,

    Do you know if the following integral has an analytical solution ?

    \int^{}_{} \exp{(x-\frac{(x-\mu)^2}{\sigma})} dx

    Thanks in advance for your help.

    Nicola
     
  2. jcsd
  3. Jun 17, 2005 #2

    dextercioby

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    [tex]\int^{}_{} \exp{\left[x-\frac{(x-\mu)^2}{\sigma}\right]} \ dx [/tex]

    This you mean?Try the Mathematica integrator from the wolfram site.

    Daniel.
     
  4. Jun 17, 2005 #3

    dextercioby

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    There it is

    [tex] \int \exp\left[x-\frac{(x-a)^{2}}{b}}\right] \ dx =-\frac{\sqrt{b}}{2}e^{a+\frac{b}{4}} \sqrt{\pi} \ \mbox{erf}\left[\frac{b+2(a-x)}{2\sqrt{b}}\right] +C [/tex]

    Daniel.
     
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