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Math Help - Integrating the e^{x^2} series...?

  1. #1
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    Integrating the e^{x^2} series...?

    What is the series representation of e^{x^2}, and how do you do it? I want to integrate the series, considering I can't integrate the expression.

    Thanks for your help!
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  2. #2
    MHF Contributor Siron's Avatar
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    Re: Integrating the e^{x^2} series...?

    \int e^{x^2}dx:
    You cannot get a primitive function expressed in elementary functions. You can look for: error function, I think there's information enough about this integral .
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    MHF Contributor FernandoRevilla's Avatar
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    Re: Integrating the e^{x^2} series...?

    Quote Originally Posted by Polyxendi View Post
    What is the series representation of e^{x^2}, and how do you do it? I want to integrate the series, considering I can't integrate the expression.
    e^t=\sum_{n=0}^{+\infty}\dfrac{t^n}{n!}\;(\forall t\in\mathbb{R})\Rightarrow e^{x^2}=\sum_{n=0}^{+\infty}\dfrac{x^{2n}}{n!}\;\;  (\forall x\in\mathbb{R})
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