Digital Library of Mathematical Functions
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6 Exponential, Logarithmic, Sine, and Cosine IntegralsProperties

§6.8 Inequalities

In this section x>0.

6.8.1 12ln(1+2x)<xE1(x)<ln(1+1x),
6.8.2 xx+1<xxE1(x)<x+1x+2,
6.8.3 x(x+3)x2+4x+2<xxE1(x)<x2+5x+2x2+6x+6.