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Formula:3090

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Digital Library of Mathematical Functions ID 7.8.E6

∫ 0 x e a ⁢ t 2 ⁢ d t < 1 3 ⁢ a ⁢ x ⁢ ( 2 ⁢ e a ⁢ x 2 + a ⁢ x 2 - 2 ) , superscript subscript 0 𝑥 superscript 𝑒 𝑎 superscript 𝑡 2 𝑡 1 3 𝑎 𝑥 2 superscript 𝑒 𝑎 superscript 𝑥 2 𝑎 superscript 𝑥 2 2 {\displaystyle{\displaystyle\int_{0}^{x}e^{at^{2}}\mathrm{d}t<\frac{1}{3ax}% \left(2e^{ax^{2}}+ax^{2}-2\right),}}


Constraint(s)

a , x > 0 𝑎 𝑥 0 {\displaystyle{\displaystyle a,x>0}}

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  •  Edit this on Wikidata

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