Formula:2913

Digital Library of Mathematical Functions ID 6.2.E5

${\displaystyle{\displaystyle\mathrm{Ei}\left(x\right)=-\,\pvint_{-x}^{\infty}\frac{e^{-t}}{t}\mathrm{d}t=\pvint_{-\infty}^{x}\frac{e^{t}}{t}\mathrm{d}t,}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\mathrm{Ei}\left(\NVar{x}\right)}}$:
• ${\displaystyle{\displaystyle\pvint_{\NVar{a}}^{\NVar{b}}}}$: Cauchy principal value
• ${\displaystyle{\displaystyle x}}$: real variable
 

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