DLMF:4.26.E4 (Q1820)

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DLMF:4.26.E4
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    Statements

    Defining formula
    ∫ csc ⁡ x ⁢ d x = ln ⁡ ( tan ⁡ 1 2 ⁢ x ) , 𝑥 𝑥 1 2 𝑥 {\displaystyle{\displaystyle\int\csc x\mathrm{d}x=\ln\left(\tan\tfrac{1}{2}x% \right),}}
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    DLMF id
    DLMF:4.26.E4
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    constraint
    0 < x < π 0 𝑥 𝜋 {\displaystyle{\displaystyle 0<x<\pi}}
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aadec
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    cosecant function
    Defining formula
    csc ⁡ z 𝑧 {\displaystyle{\displaystyle\csc\NVar{z}}}
    xml-id
    C4.S14.E5.m2adec
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    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1acdec
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    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3acdec
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