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AiryAi






Mathematica Notation

Traditional Notation









Bessel-Type Functions > AiryAi[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function and a power function > Involving exp and power > Linear arguments





http://functions.wolfram.com/03.05.21.0017.01









  


  










Input Form





Integrate[Sqrt[z] E^((2/3) (a z)^(3/2)) AiryAi[a z], z] == (1/(15 a^2 Sqrt[z] Gamma[2/3])) (6 a^2 E^((2/3) (a z)^(3/2)) z^2 AiryAi[a z] Gamma[2/3] - 2 Sqrt[a z] (3^(1/3) + (a^3 E^((2/3) (a z)^(3/2)) z^3 BesselI[-(4/3), (2/3) a^(3/2) z^(3/2)] Gamma[2/3])/ (a^(3/2) z^(3/2))^(2/3) - a E^((2/3) (a z)^(3/2)) z (a^(3/2) z^(3/2))^(2/3) BesselI[4/3, (2/3) a^(3/2) z^(3/2)] Gamma[2/3]))










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29





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