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## Main Question or Discussion Point

[tex]\int \frac{3}{2}x^{-\frac{1}{2}}\cdot e^{\frac{3}{2}x^{-2}}\,dx[/tex]

I saw this integral elsewhere and apparently it's insoluble in elementary functions. Anyone got any ideas how to tackle this one, other than as a Taylor series? I couldn't get anywhere with integration by parts, any substitutions that might provide a solution, imaginary or some sort of unusual function? Just curious to see how you would do this.

Just for fun in case anyone's bored.

It comes to something when you're so bored you go trawling for integrals you can't solve.

I saw this integral elsewhere and apparently it's insoluble in elementary functions. Anyone got any ideas how to tackle this one, other than as a Taylor series? I couldn't get anywhere with integration by parts, any substitutions that might provide a solution, imaginary or some sort of unusual function? Just curious to see how you would do this.

Just for fun in case anyone's bored.

It comes to something when you're so bored you go trawling for integrals you can't solve.

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