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What's the integral of (e^x2) ?

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time_search

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integration of( e^x2)...does it have an integration?
 

Re: integration

According to integrals.com it's

Sqrt[Pi] Erfi[x]
----------------
2

where Erfi is the imaginary error function.
 

Re: integration

I dont believe there is a nice closed form integral for exp(x^2). So you will have to resort to numerical integration. However if you are in need or integrating a gaussian follow this link as it provides the proof as well.

https://en.wikipedia.org/wiki/Gaussian_integral
 

integration

Use Matlab and type

syms y x
y = int(exp(x^2))

u'll get

-1/2*i*pi^(1/2)*erf(i*x)

wich erf is the error function, ..

Hope it Works, ..
 

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