Formula:2953

Digital Library of Mathematical Functions ID 6.7.E2

${\displaystyle{\displaystyle e^{x}\int_{0}^{\alpha}\frac{e^{-xt}}{1-t}\mathrm{d}t=\mathrm{Ei}\left(x\right)-\mathrm{Ei}\left((1-\alpha)x\right),}}$

Constraint(s)

${\displaystyle{\displaystyle x>0}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\mathrm{Ei}\left(\NVar{x}\right)}}$:
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle x}}$: real variable
 

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