OFFSET
0,2
COMMENTS
In a certain Japanese mathematics dictionary, the value of Integral_{0..1} 1/(log|log x|) dx was given for many years as 0.
LINKS
Robert G. Wilson v, Graph of 1/(log|log x|) from 0..1.
FORMULA
Equals Integral_{x>=0} exp(-x)/log(x) dx (negated).
EXAMPLE
0.15447964132...
MATHEMATICA
NIntegrate[-1/Log[-Log[x]], {x, 0, 1}, AccuracyGoal -> 2^8, WorkingPrecision -> 2^16, PrecisionGoal -> 2^7, MaxRecursion -> 2^15, MaxPoints -> 2^20, Exclusions -> {1/E}] (* Robert G. Wilson v, Feb 20 2019 *)
CROSSREFS
KEYWORD
AUTHOR
Seiichi Manyama, Apr 20 2018
EXTENSIONS
Corrected and extended by Robert G. Wilson v, Feb 20 2019
STATUS
approved