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AiryBi






Mathematica Notation

Traditional Notation









Bessel-Type Functions > AiryBi[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/03.06.21.0015.01









  


  










Input Form





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










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