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Formula:66

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Digital Library of Mathematical Functions ID 1.4.E18

∫ a b f ⁢ ( x ) ⁢ d x = lim ⁡ ∑ j = 0 n - 1 f ⁢ ( ξ j ) ⁢ ( x j + 1 - x j ) subscript superscript 𝑏 𝑎 𝑓 𝑥 𝑥 subscript superscript 𝑛 1 𝑗 0 𝑓 subscript 𝜉 𝑗 subscript 𝑥 𝑗 1 subscript 𝑥 𝑗 {\displaystyle{\displaystyle\int^{b}_{a}f(x)\mathrm{d}x=\lim\sum^{n-1}_{j=0}f(% \xi_{j})(x_{j+1}-x_{j})}}


Constraint(s)

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • j 𝑗 {\displaystyle{\displaystyle j}} : integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • ξ j subscript 𝜉 𝑗 {\displaystyle{\displaystyle\xi_{j}}} : point
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This page was last edited on 3 March 2024, at 01:28.
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