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FaradayCage
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Is it possible to integrate [tex] \int \frac{1}{1+e^{-x^2}} dx [/tex]
FaradayCage said:Is it possible to integrate [tex] \int \frac{1}{1+e^{-x^2}} dx [/tex]
Solving this integral requires the use of advanced techniques, such as the substitution method or integration by parts. It cannot be solved using basic integration rules.
No, there is no known closed-form solution for this integral. It can only be approximated using numerical methods.
This function is the probability density function for the standard normal distribution. It is commonly used in statistics and probability to model various phenomena.
No, this integral cannot be solved using elementary functions. It requires the use of special functions, such as the error function, to be evaluated.
The solution to this integral can be applied in various fields, such as statistics, physics, and finance. It can help solve problems related to probability, heat transfer, and option pricing, among others.