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 CoshIntegral

 http://functions.wolfram.com/06.40.21.0056.01

 Input Form

 Integrate[z^2 CoshIntegral[a z] CoshIntegral[b z], z] == ((-a^2) b Cosh[b z] (-2 a (a - b) (a + b) z CoshIntegral[a z] + (2 a^2 + b^2) Sinh[a z]) + a (b^2 (a^2 + 2 b^2) Cosh[a z] + a (a - b) (a + b) ((-a) (2 + b^2 z^2) CoshIntegral[a z] + b^2 z Sinh[a z])) Sinh[b z] + (a - b) (a + b) (b^3 CoshIntegral[b z] (2 a z Cosh[a z] + a^3 z^3 CoshIntegral[a z] - (2 + a^2 z^2) Sinh[a z]) + (-a^3 + b^3) SinhIntegral[(a - b) z] + (a^3 + b^3) SinhIntegral[(a + b) z]))/(3 a^3 (a - b) b^3 (a + b))

 Standard Form

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 MathML Form

 z 2 Chi ( a z ) Chi ( b z ) z 1 3 a 3 ( a - b ) b 3 ( a + b ) ( ( ( a 2 + 2 b 2 ) cosh ( a z ) b 2 + a ( a - b ) ( a + b ) ( b 2 z sinh ( a z ) - a ( b 2 z 2 + 2 ) Chi ( a z ) ) ) sinh ( b z ) a - a 2 b cosh ( b z ) ( ( 2 a 2 + b 2 ) sinh ( a z ) - 2 a ( a - b ) ( a + b ) z Chi ( a z ) ) + ( a - b ) ( a + b ) ( Chi ( b z ) ( a 3 Chi ( a z ) z 3 + 2 a cosh ( a z ) z - ( a 2 z 2 + 2 ) sinh ( a z ) ) b 3 + ( b 3 - a 3 ) Shi ( ( a - b ) z ) + ( a 3 + b 3 ) Shi ( ( a + b ) z ) ) ) z z 2 CoshIntegral a z CoshIntegral b z 1 3 a 3 a -1 b b 3 a b -1 a 2 2 b 2 a z b 2 a a -1 b a b b 2 z a z -1 a b 2 z 2 2 CoshIntegral a z b z a -1 a 2 b b z 2 a 2 b 2 a z -1 2 a a -1 b a b z CoshIntegral a z a -1 b a b CoshIntegral b z a 3 CoshIntegral a z z 3 2 a a z z -1 a 2 z 2 2 a z b 3 b 3 -1 a 3 SinhIntegral a -1 b z a 3 b 3 SinhIntegral a b z [/itex]

 Rule Form

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

 2001-10-29