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 CosIntegral

 http://functions.wolfram.com/06.38.21.0057.01

 Input Form

 Integrate[z^2 CosIntegral[a z] CosIntegral[b z], z] == -((-a^2) b Cos[b z] (-2 a (a - b) (a + b) z CosIntegral[a z] + (2 a^2 + b^2) Sin[a z]) + a (b^2 (a^2 + 2 b^2) Cos[a z] + a (a - b) (a + b) (a (-2 + b^2 z^2) CosIntegral[a z] - b^2 z Sin[a z])) Sin[b z] + (a - b) (a + b) (b^3 CosIntegral[b z] (2 a z Cos[a z] - a^3 z^3 CosIntegral[a z] + (-2 + a^2 z^2) Sin[a z]) + (-a^3 + b^3) SinIntegral[(a - b) z] + (a^3 + b^3) SinIntegral[(a + b) z]))/(3 a^3 (a - b) b^3 (a + b))

 Standard Form

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 MathML Form

 z 2 Ci ( a z ) Ci ( b z ) z - 1 3 a 3 ( a - b ) b 3 ( a + b ) ( ( ( a 2 + 2 b 2 ) cos ( a z ) b 2 + a ( a - b ) ( a + b ) ( a ( b 2 z 2 - 2 ) Ci ( a z ) - b 2 z sin ( a z ) ) ) sin ( b z ) a - a 2 b cos ( b z ) ( ( 2 a 2 + b 2 ) sin ( a z ) - 2 a ( a - b ) ( a + b ) z Ci ( a z ) ) + ( a - b ) ( a + b ) ( Ci ( b z ) ( - a 3 Ci ( a z ) z 3 + 2 a cos ( a z ) z + ( a 2 z 2 - 2 ) sin ( a z ) ) b 3 + ( b 3 - a 3 ) Si ( ( a - b ) z ) + ( a 3 + b 3 ) Si ( ( a + b ) z ) ) ) z z 2 CosIntegral a z CosIntegral b z -1 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 a b 2 z 2 -2 CosIntegral a z -1 b 2 z 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 CosIntegral a z a -1 b a b CosIntegral b z -1 a 3 CosIntegral a z z 3 2 a a z z a 2 z 2 -2 a z b 3 b 3 -1 a 3 SinIntegral a -1 b z a 3 b 3 SinIntegral a b z [/itex]

 Rule Form

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

 2001-10-29