Formula:3585

Digital Library of Mathematical Functions ID 9.10.E5

${\displaystyle{\displaystyle\int_{0}^{x}\mathrm{Bi}\left(t\right)\mathrm{d}t\sim\pi^{-1/2}x^{-3/4}\exp\left(\tfrac{2}{3}x^{3/2}\right),}}$

Constraint(s)

${\displaystyle{\displaystyle x\rightarrow\infty}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}$:
• ${\displaystyle{\displaystyle\sim}}$: asymptotic equality
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\exp\NVar{z}}}$: exponential function
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle x}}$: real variable
 

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