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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 Shi and power





http://functions.wolfram.com/06.40.21.0080.01









  


  










Input Form





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





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