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 AiryBiPrime

 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

 sinh ( 2 3 ( a z ) 3 / 2 ) Bi ( a z ) z - 1 10 ( a 3 / 2 z 3 / 2 ) 2 / 3 ( 1 3 ( - 2 ) ( a z ) 3 / 2 z ( 2 ( 1 + 4 3 ( a z ) 3 / 2 ) a z ( a 3 / 2 z 3 / 2 ) 2 / 3 Bi ( a z ) - ( - 1 + 4 3 ( a z ) 3 / 2 ) ( 5 Bi ( a z ) ( a 3 / 2 z 3 / 2 ) 2 / 3 - 3 a 2 z 2 I - 4 3 ( 2 3 a 3 / 2 z 3 / 2 ) - 3 a 3 z 3 ( a 3 / 2 z 3 / 2 ) 2 / 3 I 4 3 ( 2 3 a 3 / 2 z 3 / 2 ) ) ) ) z 2 3 a z 3 2 AiryBiPrime a z -1 1 10 a 3 2 z 3 2 2 3 -1 1 3 -2 a z 3 2 z 2 1 4 3 a z 3 2 a z 1 2 a 3 2 z 3 2 2 3 AiryBi a z -1 -1 4 3 a z 3 2 5 AiryBiPrime a z a 3 2 z 3 2 2 3 -1 3 1 2 a 2 z 2 BesselI -1 4 3 2 3 a 3 2 z 3 2 -1 3 1 2 a 3 z 3 a 3 2 z 3 2 2 3 -1 BesselI 4 3 2 3 a 3 2 z 3 2 [/itex]

 Rule Form

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

 2001-10-29