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AiryBiPrime






Mathematica Notation

Traditional Notation









Bessel-Type Functions > AiryBiPrime[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving hyperbolic functions > Involving sinh > Linear argument





http://functions.wolfram.com/03.08.21.0019.01









  


  










Input Form





Integrate[Sinh[(2/3) (a z)^(3/2)] AiryBiPrime[a z], z] == (-(1/(10 (a^(3/2) z^(3/2))^(2/3)))) ((z (2 (1 + E^((4/3) (a z)^(3/2))) Sqrt[a z] (a^(3/2) z^(3/2))^(2/3) AiryBi[a z] - (-1 + E^((4/3) (a z)^(3/2))) (5 (a^(3/2) z^(3/2))^(2/3) AiryBiPrime[a z] - Sqrt[3] a^2 z^2 BesselI[-(4/3), (2/3) a^(3/2) z^(3/2)] - (Sqrt[3] a^3 z^3 BesselI[4/3, (2/3) a^(3/2) z^(3/2)])/ (a^(3/2) z^(3/2))^(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





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