DLMF:7.8.E6 (Q2392): Difference between revisions

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Property / constraint
 

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

a,x>0
Property / constraint: a , x > 0 𝑎 𝑥 0 {\displaystyle{\displaystyle a,x>0}} / rank
 
Normal rank

Revision as of 16:08, 30 December 2019

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DLMF:7.8.E6
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    Statements

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