Formula:2997

Digital Library of Mathematical Functions ID 6.14.E1

${\displaystyle{\displaystyle\int_{0}^{\infty}e^{-at}E_{1}\left(t\right)\mathrm{d}t=\frac{1}{a}\ln\left(1+a\right),}}$

Constraint(s)

${\displaystyle{\displaystyle\Re a>-1}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}}$: exponential integral
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle\Re}}$: real part
 

Resources that cite this formula

No records found.