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Formula:7379

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Digital Library of Mathematical Functions ID 19.30.E8

s = 1 2 ⁢ ∫ 0 y 2 / b 2 ( a 2 + b 2 ) ⁢ t + b 2 t ⁢ ( t + 1 ) ⁢ d t . 𝑠 1 2 superscript subscript 0 superscript 𝑦 2 superscript 𝑏 2 superscript 𝑎 2 superscript 𝑏 2 𝑡 superscript 𝑏 2 𝑡 𝑡 1 𝑡 {\displaystyle{\displaystyle s=\frac{1}{2}\int_{0}^{y^{2}/b^{2}}\sqrt{\frac{(a% ^{2}+b^{2})t+b^{2}}{t(t+1)}}\mathrm{d}t.}}


Constraint(s)

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • s 𝑠 {\displaystyle{\displaystyle s}} : arclength
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:02.
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