Integral of e to the power of x^-2

[Tom.M]

Hi
can anyone help me with this integral ?

the integral of e to the power of x^-2, and this integral from 0 to x/√2

thanks

 

[DivisionByZro]

There is no answer in terms of elementary functions. This is a fact in probably every calculus book. However, the integral is used commonly in statistics, and so it can be evaluated using a Gaussian or the erf (error) function:

http://en.wikipedia.org/wiki/Error_function