DLMF:2.11.E1 (Q1024)

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DLMF:2.11.E1
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    Statements

    Defining formula
    I ⁢ ( m ) = ∫ 0 π cos ⁡ ( m ⁢ t ) t 2 + 1 ⁢ d t , 𝐼 𝑚 superscript subscript 0 𝜋 𝑚 𝑡 superscript 𝑡 2 1 𝑡 {\displaystyle{\displaystyle I(m)=\int_{0}^{\pi}\frac{\cos\left(mt\right)}{t^{% 2}+1}\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:2.11.E1
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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.m2adec
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    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2adec
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    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
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    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3adec
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    Q11134
    Defining formula
    I ⁢ ( m ) 𝐼 𝑚 {\displaystyle{\displaystyle I(m)}}
    xml-id
    C2.S11.XMD1.m1dec
    0 references
     
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