DLMF:1.6.E37 (Q218)

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DLMF:1.6.E37
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    Statements

    Defining formula
    ∫ 𝐜 f ⁢ d s = ∫ a b f ⁢ ( x ⁢ ( t ) , y ⁢ ( t ) , z ⁢ ( t ) ) ⁢ ∥ 𝐜 ′ ⁢ ( t ) ∥ ⁢ d t . subscript 𝐜 𝑓 𝑠 subscript superscript 𝑏 𝑎 𝑓 𝑥 𝑡 𝑦 𝑡 𝑧 𝑡 norm superscript 𝐜 ′ 𝑡 𝑡 {\displaystyle{\displaystyle\int_{\mathbf{c}}f\mathrm{d}s=\int^{b}_{a}f(x(t),y% (t),z(t))\|\mathbf{c}^{\prime}(t)\|\mathrm{d}t.}}
    0 references
    DLMF id
    DLMF:1.6.E37
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aadec
    0 references
     
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