DLMF:6.14.E1 (Q2299)

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DLMF:6.14.E1
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    Statements

    Defining formula
    ∫ 0 ∞ e - a ⁢ t ⁢ E 1 ⁡ ( t ) ⁢ d t = 1 a ⁢ ln ⁡ ( 1 + a ) , superscript subscript 0 superscript 𝑒 𝑎 𝑡 exponential-integral 𝑡 𝑡 1 𝑎 1 𝑎 {\displaystyle{\displaystyle\int_{0}^{\infty}e^{-at}E_{1}\left(t\right)\mathrm% {d}t=\frac{1}{a}\ln\left(1+a\right),}}
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    DLMF id
    DLMF:6.14.E1
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    constraint
    ℜ ⁡ a > - 1 𝑎 1 {\displaystyle{\displaystyle\Re a>-1}}
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