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CoshIntegral






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > CoshIntegral[z] > Integration > Indefinite integration > Involving direct function and Gamma-, Beta-, Erf-type functions > Involving exponential integral-type functions and a power function > Involving Si and power





http://functions.wolfram.com/06.40.21.0071.01









  


  










Input Form





Integrate[z SinIntegral[b z] CoshIntegral[a z], z] == (1/(8 a^2 b^2)) (((-a) b (-1 + E^(2 a z)) (1 + E^(2 I b z)) + I (a - b) (a + b) E^((a + I b) z) (ExpIntegralEi[(a - I b) z] + ExpIntegralEi[(-(a + I b)) z] - ExpIntegralEi[(a + I b) z] - ExpIntegralEi[(-a) z + I b z]) + 2 E^((a + I b) z) (I a^2 CoshIntegral[a z] (Gamma[2, (-I) b z] - Gamma[2, I b z]) + b^2 (2 a^2 z^2 CoshIntegral[a z] + Gamma[2, (-a) z] + Gamma[2, a z]) SinIntegral[b z]))/E^((a + I b) z))










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