Quiz: calculating a definite integral

[peacecalc]

Hello,

I think it's : \[ e^{-x}^{\ln(x)} \] or \[ e^{x}^{-\ln(x)} \]. It could be interesting if this makes a numerical difference. Is anybody good in analysis of numerical mathematics?

Greetings peacecalc

P.S.: I've seen that \ ( \ ) (with no spaces) doesn't work for inline TeX, with which characters it works?

Oh I see it's a problem of my used computer "XP" and so on, so I hope if I use my "win7" machine it will works.