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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/06.40.21.0068.01









  


  










Input Form





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





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