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Formula:189

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Digital Library of Mathematical Functions ID 1.6.E37

∫ 𝐜 f ⁒ d s = ∫ a b f ⁒ ( x ⁒ ( t ) , y ⁒ ( t ) , z ⁒ ( t ) ) ⁒ βˆ₯ 𝐜 β€² ⁒ ( t ) βˆ₯ ⁒ d t . subscript 𝐜 𝑓 𝑠 subscript superscript 𝑏 π‘Ž 𝑓 π‘₯ 𝑑 𝑦 𝑑 𝑧 𝑑 norm superscript 𝐜 β€² 𝑑 𝑑 {\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.}}


Constraint(s)

Symbols List

  • d x π‘₯ {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
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