I am looking for a general solution to the integral of e^x^2 dx. Any advise?
There actually is no conventional method to integrate this. You can get an approximation by using the Taylor Series expansion, namely Σ(((x^2)^n)/n!). but there is no direct method to integrate this. How did you come up with this? Statistics and probablity uses e^(-x^2) which is the error function and can be manipulated to look like a normal density function that you can use tables to find an answer.