DLMF:9.10.E7 (Q2889)

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DLMF:9.10.E7
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    Statements

    Defining formula
    ∫ - ∞ x Bi ⁡ ( t ) ⁢ d t = π - 1 / 2 ⁢ ( - x ) - 3 / 4 ⁢ sin ⁡ ( 2 3 ⁢ ( - x ) 3 / 2 + 1 4 ⁢ π ) + O ⁡ ( | x | - 9 / 4 ) , superscript subscript 𝑥 Airy-Bi 𝑡 𝑡 superscript 𝜋 1 2 superscript 𝑥 3 4 2 3 superscript 𝑥 3 2 1 4 𝜋 Big-O superscript 𝑥 9 4 {\displaystyle{\displaystyle\int_{-\infty}^{x}\mathrm{Bi}\left(t\right)\mathrm% {d}t=\pi^{-1/2}(-x)^{-3/4}\*\sin\left(\tfrac{2}{3}(-x)^{3/2}+\tfrac{1}{4}\pi% \right)+O\left(|x|^{-9/4}\right),}}
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    DLMF id
    DLMF:9.10.E7
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    constraint
    x → - ∞ → 𝑥 {\displaystyle{\displaystyle x\rightarrow-\infty}}
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