DLMF:4.26.E18 (Q1834)

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DLMF:4.26.E18
No description defined

    Statements

    Defining formula
    ∫ arcsec ⁡ x ⁢ d x = x ⁢ arcsec ⁡ x - ln ⁡ ( x + ( x 2 - 1 ) 1 / 2 ) , 𝑥 𝑥 𝑥 𝑥 𝑥 superscript superscript 𝑥 2 1 1 2 {\displaystyle{\displaystyle\int\operatorname{arcsec}x\mathrm{d}x=x% \operatorname{arcsec}x-\ln\left(x+(x^{2}-1)^{1/2}\right),}}
    0 references
    DLMF id
    DLMF:4.26.E18
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    constraint
    1 < x < ∞ 1 𝑥 {\displaystyle{\displaystyle 1<x<\infty}}
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    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aqdec
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    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aqdec
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    arcsecant function
    Defining formula
    arcsec ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arcsec}\NVar{z}}}
    xml-id
    C4.S23.E8.m2adec
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    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2aedec
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    Q11218
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C4.S1.XMD6.m1ldec
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