Any solution to quasi-gaussian integral ?

  • Thread starter nlama
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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
 

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.
 

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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