DLMF:6.7.E2 (Q2255)

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DLMF:6.7.E2
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    Statements

    test
    e x ⁢ ∫ 0 α e - x ⁢ t 1 - t ⁢ d t = Ei ⁡ ( x ) - Ei ⁡ ( ( 1 - α ) ⁢ x ) , superscript 𝑒 𝑥 superscript subscript 0 𝛼 superscript 𝑒 𝑥 𝑡 1 𝑡 𝑡 exponential-integral-Ei 𝑥 exponential-integral-Ei 1 𝛼 𝑥 {\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),}}
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    DLMF id
    DLMF:6.7.E2
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    constraint
    x > 0 𝑥 0 {\displaystyle{\displaystyle x>0}}
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