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Keywords: BracketingE1.png Illustration of bracketing <math> \frac \exp -x 2 \ ~\ln\ \left 1+\frac 2 x \right < \rm E _1 x < \exp -x \ ~\ln\ \left 1+\frac 1 x \right ~~~ ~~~~~x\ >\ 0</math> of the exponential integral <math>~ \rm E _1 x ~</math> black with elementary functions <math> \frac \exp -x 2 \ ~\ln\ \left 1+\frac 2 x \right ~</math> red and <math>~ \exp -x \ ~\ln\ \left 1+\frac 1 x \right ~</math> blue Own 2008 Domitori Functions |