Integral with $e$ , $ \int e^{x^3}\;dx$ $ \int e^{x^3}\;dx$
  so, i'm searching for answer this question, i think that this not is too easily, but i think this integral not exist solution undefined, this integral would be easy if  had the derivative out but i'snt happen
There is no elementary function, say $\mathrm{f}$, with the property that
$$\frac{\mathrm{df}}{\mathrm{d}x}=\mathrm{e}^{x^3}$$
the function of $\int e^{x^2} dx$ is undefined.
most likely the function of $e^{x^3}$ is also undefined.
there exists a error function ($erf$) which approximates the integral
you can read more over that here http://en.wikipedia.org/wiki/Error_function