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 CoshIntegral

 http://functions.wolfram.com/06.40.21.0028.01

 Input Form

 Integrate[z^2 Cos[b z] CoshIntegral[a z], z] == (-(1/(2 b^3))) (I (2 I CoshIntegral[a z] (2 b z Cos[b z] + (-2 + b^2 z^2) Sin[b z]) + (1/(a^2 + b^2)^2) ((-(a^2 + b^2)^2) (ExpIntegralEi[(a - I b) z] + ExpIntegralEi[(-(a + I b)) z] - ExpIntegralEi[(a + I b) z] - ExpIntegralEi[(-a) z + I b z]) + 2 I b^2 Cosh[a z] (b (a^2 + b^2) z Cos[b z] - (a^2 + 3 b^2) Sin[b z]) - 2 I a b (2 (a^2 + 2 b^2) Cos[b z] + b (a^2 + b^2) z Sin[b z]) Sinh[a z])))

 Standard Form

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 MathML Form

 z 2 cos ( b z ) Chi ( a z ) z - 1 2 b 3 ( ( 2 Chi ( a z ) ( 2 b z cos ( b z ) + ( b 2 z 2 - 2 ) sin ( b z ) ) + 1 ( a 2 + b 2 ) 2 ( 2 cosh ( a z ) ( b ( a 2 + b 2 ) z cos ( b z ) - ( a 2 + 3 b 2 ) sin ( b z ) ) b 2 - 2 a ( 2 ( a 2 + 2 b 2 ) cos ( b z ) + b ( a 2 + b 2 ) z sin ( b z ) ) sinh ( a z ) b - ( a 2 + b 2 ) 2 ( Ei ( - ( a + b ) z ) - Ei ( ( a + b ) z ) + Ei ( ( a - b ) z ) - Ei ( b z - a z ) ) ) ) ) z z 2 b z CoshIntegral a z -1 1 2 b 3 -1 2 CoshIntegral a z 2 b z b z b 2 z 2 -2 b z 1 a 2 b 2 2 -1 2 a z b a 2 b 2 z b z -1 a 2 3 b 2 b z b 2 -1 2 a 2 a 2 2 b 2 b z b a 2 b 2 z b z a z b -1 a 2 b 2 2 ExpIntegralEi -1 a b z -1 ExpIntegralEi a b z ExpIntegralEi a -1 b z -1 ExpIntegralEi b z -1 a z [/itex]

 Rule Form

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

 2001-10-29