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Formula:6034

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Digital Library of Mathematical Functions ID 17.2.E47

lim q → 1 - ⁡ ∫ 0 a f ⁢ ( x ) ⁢ d q x = ∫ 0 a f ⁢ ( x ) ⁢ d x . subscript → 𝑞 limit-from 1 superscript subscript 0 𝑎 𝑓 𝑥 q-differential 𝑞 𝑥 superscript subscript 0 𝑎 𝑓 𝑥 𝑥 {\displaystyle{\displaystyle\lim_{q\to 1-}\int_{0}^{a}f(x){\mathrm{d}}_{q}x=% \int_{0}^{a}f(x)\mathrm{d}x.}}


Constraint(s)

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • d q x q-differential 𝑞 𝑥 {\displaystyle{\displaystyle{\mathrm{d}}_{\NVar{q}}\NVar{x}}} :
  • q 𝑞 {\displaystyle{\displaystyle q}} : complex base
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
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