Here are two equations many people don't know.
Attached are the two equations in Mathematica.
[[1]] S.R.Finch, Mathematical Constants, Cambridge, 2003, p. 450
[ [2]] R.J.Mathar, Numerical evaluation of the oscillatory integral \ over exp (ipix) x^(1/x) between 1 and infinity arxiv : 0912.3844[math.CA]] http://arxiv.org/abs/0912.3844
Attachments: