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DLMF:7.8.E7 - MaRDI portal

DLMF:7.8.E7 (Q3091)

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DLMF:7.8.E7
No description defined

    Statements

    DLMF defining formula
    ∫ 0 x e t 2 ⁢ d t < e x 2 - 1 x , superscript subscript 0 𝑥 superscript 𝑒 superscript 𝑡 2 𝑡 superscript 𝑒 superscript 𝑥 2 1 𝑥 {\displaystyle{\displaystyle\int_{0}^{x}e^{t^{2}}\mathrm{d}t<\frac{e^{x^{2}}-1% }{x},}}
    0 references
    constraint
    x > 0 𝑥 0 {\displaystyle{\displaystyle x>0}}
    0 references
    Symbols used
    differential of x
    DLMF defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1abdec
    0 references
    base of natural logarithm
    DLMF defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2abdec
    0 references
    integral
    DLMF defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3abdec
    0 references
    real variable
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C7.S1.XMD1.m1fdec
    0 references

    Identifiers

     
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