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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 Ei and power





http://functions.wolfram.com/06.40.21.0067.01









  


  










Input Form





Integrate[z ExpIntegralEi[b z] CoshIntegral[a z], z] == (1/4) (-((2 E^(b z) (-1 + b z) CoshIntegral[a z])/b^2) - (1/(a^2 b^2)) ((a^2 + b^2) (ExpIntegralEi[(-a + b) z] + ExpIntegralEi[(a + b) z])) + (2 E^(b z) Sinh[a z])/(a b) + (1/a^2) (2 ExpIntegralEi[b z] (Cosh[a z] + a^2 z^2 CoshIntegral[a z] - a z Sinh[a 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