Formula:2955

Digital Library of Mathematical Functions ID 6.7.E4

${\displaystyle{\displaystyle\int_{x}^{\infty}\frac{te^{it}}{a^{2}+t^{2}}\mathrm{d}t=\tfrac{1}{2}\left(e^{a}E_{1}\left(a-ix\right)+e^{-a}E_{1}\left(-a-ix\right)\right),}}$

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
• ${\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}}$: exponential integral
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle x}}$: real variable
 

Resources that cite this formula

No records found.