Error function questions

  • Thread starter jippetto
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  • #1
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Main Question or Discussion Point

So i think I'm correct in assuming that the error function is the integral of the function e^(-x^2), but that it can only be expressed in terms of a Taylor series. is it really impossible to express it in terms of elementary functions?

with this same function [e^(-x^2)], how would you integrate it without first converting to a Taylor series and then integrating the summation of the series?
 

Answers and Replies

  • #3
Gib Z
Homework Helper
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And nope, almost but not the integral of the error function.

[tex]ERF(x) = \frac{2}{\sqrt{\pi}} \int_0^x e^{-t^2} dt[/tex]
 

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