Integrating e^x^2: College Level Help

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The integral of e^(x^2) cannot be expressed in terms of elementary functions. Instead, it relates to the special error function, erf(z), defined by a specific integral. The discussion also raises the possibility of evaluating definite integrals involving e^(x^2) using special techniques. Additionally, a minor note on the correct spelling of "integration" was mentioned. Overall, the integration of e^(x^2) is a complex topic that requires advanced mathematical concepts.
alamin
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well, need help..lol

Intergrate e^x^2

any help:college level

Thanks
 
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That can not be done. There is no elementary function whose derivative is e^{x^2}. There is a special function, erf(z) defined by:
erf(z)=\frac{2}{\sqrt{\pi}} \int_{0}^{z} e^{t^2}dt
Is that the full question, or was it a definite integral? There are special tricks to finding certain definite integrals of this function.
 
Just to add: 'Integration' not 'intergration'.
 
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