DLMF:4.26.E17 (Q1833)

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DLMF:4.26.E17
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    Statements

    Defining formula
    ∫ arccsc ⁡ x ⁢ d x = x ⁢ arccsc ⁡ x + ln ⁡ ( x + ( x 2 - 1 ) 1 / 2 ) , 𝑥 𝑥 𝑥 𝑥 𝑥 superscript superscript 𝑥 2 1 1 2 {\displaystyle{\displaystyle\int\operatorname{arccsc}x\mathrm{d}x=x% \operatorname{arccsc}x+\ln\left(x+(x^{2}-1)^{1/2}\right),}}
    0 references
    DLMF id
    DLMF:4.26.E17
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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.m1apdec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3apdec
    0 references
     
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