Integrating e^x^2: College Level Help

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SUMMARY

The integration of the function e^(x^2) cannot be expressed in terms of elementary functions. The discussion highlights the use of the error function, erf(z), defined as erf(z) = (2/√π) ∫(0 to z) e^(t^2) dt, as a special function related to this integral. Additionally, the importance of correct terminology is emphasized, specifically the spelling of "integration." The conversation suggests that there may be specific techniques for evaluating definite integrals involving e^(x^2).

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  • Knowledge of definite and indefinite integrals
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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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