DLMF:9.11.E19 (Q2926)

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DLMF:9.11.E19
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    0 d t Ai 2 ( t ) + Bi 2 ( t ) = 0 t d t Ai 2 ( t ) + Bi 2 ( t ) = π 2 6 . superscript subscript 0 𝑡 Airy-Ai 2 𝑡 Airy-Bi 2 𝑡 superscript subscript 0 𝑡 𝑡 diffop Airy-Ai 1 2 𝑡 diffop Airy-Bi 1 2 𝑡 superscript 𝜋 2 6 {\displaystyle{\displaystyle\int_{0}^{\infty}\frac{\mathrm{d}t}{{\mathrm{Ai}^{% 2}}\left(t\right)+{\mathrm{Bi}^{2}}\left(t\right)}=\int_{0}^{\infty}\frac{t% \mathrm{d}t}{{\mathrm{Ai}'^{2}}\left(t\right)+{\mathrm{Bi}'^{2}}\left(t\right)% }=\frac{\pi^{2}}{6}.}}
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