# Could anybody find an INTEGRAL?

I've got a difficult integral, that is, $$\int_{-\infty}^{\infty} e^{\lambda x^{2}} dx$$. Could anybody find its solution?

Doc Al
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HallsofIvy
Since, for $\lambda> 0$, that is not bounded as x goes to infinity, and, if $\lambda= 0$, that is just $\int_{-\infty}^{\infty} dx$, neither of those exists.
If, however, $\lambda$ is negative, It is well known that the integral is
$\sqrt{\pi/|\lambda |}$.