anonymous
  • anonymous
What is the integral of e^(x^2)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
it is provable you cannot express that integral with "elementary" functions, in statistics they give the integral of e^-(x^2) as erf(x) , and im pretty sure \[\int\limits_{?}^{?} e^{x^2} = 0.5\sqrt{\pi }erfi(x)\]
anonymous
  • anonymous
aahh i forgot the values on the integral..
anonymous
  • anonymous
But Im talking about an indefinite integral

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anonymous
  • anonymous
yes, i was going to have the lower limit as x1 and the upper as x2 ( i prefer definite) but its the same problem effectively
anonymous
  • anonymous
I didn't get you.Please elaborate
anonymous
  • anonymous
most functions we come across can be integrated, but this function cannot, because you can show that nothing differentiates to make that function. its similar to this: http://en.wikipedia.org/wiki/Gaussian_integral
anonymous
  • anonymous
the area under the curve exists, but we cannot express it in terms of any elementary functions
anonymous
  • anonymous
using polar coordinates i think it is possible to compute the integral i think, although im not sure how much of polar coordinates you have come across, you should take a look its really interesting
anonymous
  • anonymous
Yeah I guess we are still not as advanced in integration as in differentiation as we don't have a solid definition for integration like we have for differentiation
anonymous
  • anonymous
And yeah I have some basic insights into polar coordinates.It's pretty interesting

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