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DLMF:6.14.E4 - MaRDI portal

DLMF:6.14.E4 (Q3000)

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DLMF:6.14.E4
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    Statements

    DLMF defining formula
    ∫ 0 ∞ E 1 2 ⁡ ( t ) ⁢ d t = 2 ⁢ ln ⁡ 2 , superscript subscript 0 exponential-integral 2 𝑡 𝑡 2 2 {\displaystyle{\displaystyle\int_{0}^{\infty}{E_{1}^{2}}\left(t\right)\mathrm{% d}t=2\ln 2,}}
    0 references
    Symbols used
    differential of x
    DLMF defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1acdec
    0 references
    exponential integral
    DLMF defining formula
    E 1 ⁡ ( z ) exponential-integral 𝑧 {\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}}
    xml-id
    C6.S2.E1.m2aadec
    0 references
    integral
    DLMF defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3acdec
    0 references
    principal branch of logarithm function
    DLMF defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2abdec
    0 references

    Identifiers

     
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