11454

Some Gaussian Integrals

The well-known Gaussian integral can be evaluated in closed form, even though there is no elementary function equal to the indefinite integral . More generally, integrals of the form can be evaluated for positive integers [1]. In this Demonstration, we perform numerical integrations for , with and . The results are then represented as areas under a curve (shown in red).

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Reference
[1] E. W. Weisstein, "Gaussian Integral," Wolfram MathWorld. (Jan 25, 2016) mathworld.wolfram.com/GaussianIntegral.html.
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