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[tex]\int e^{-x^{2}}/x[/tex]

,with limits from [tex]\sqrt{\pi}[/tex] to [tex]\infty[/tex]

I'm supposed to use Simpson's Rule, so I'm trying to redefine the integral to have a finite range. I've tried all kinds of substitutions, and integration by parts. I've also tried squaring the integral and converting to polar coordinates, because it looks so similar to the Gaussian integral. No dice.

Any suggestions?