Is the Integral of e^(-x^2) the Coolest Sum Ever?

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The integral of e^(-x^2) from 0 to infinity is recognized as the Gaussian integral, notable for its importance in mathematics and physics. It plays a critical role in defining the error function, which is essential in statistics and probability theory. While opinions vary on whether it is the "coolest sum ever," its significance and applications are widely acknowledged. The discussion highlights its utility rather than its novelty. Overall, the integral is a fundamental concept with far-reaching implications in various fields.
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Integral ... the best

hey this is a cool sum...


integral 0 to infinity of e^(-x^2)
 
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Yeah, it IS cool :cool:.
 
dx

I'm not sure if I would call it the "coolest sum ever," but it is definitely a very interesting and important integral. This is known as the Gaussian integral and it has many applications in mathematics and physics. It is also a key component in the definition of the error function, which is used in statistics and probability theory. So while it may not be the coolest sum ever, it is definitely a very useful and significant one.
 

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