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CosIntegral






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > CosIntegral[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving hyperbolic functions and a power function > Involving cosh and power





http://functions.wolfram.com/06.38.21.0042.01









  


  










Input Form





Integrate[z^2 Cosh[b z] CosIntegral[a z], z] == (1/(4 b^3)) (4 CosIntegral[a z] (-2 b z Cosh[b z] + (2 + b^2 z^2) Sinh[b z]) + (1/(a^2 + b^2)^2) (-2 (a^2 + b^2)^2 (ExpIntegralEi[((-I) a + b) z] + ExpIntegralEi[(I a + b) z] - ExpIntegralEi[(-I) a z - b z] - ExpIntegralEi[I a z - b z]) + 4 b^2 Cos[a z] ((-b) (a^2 + b^2) z Cosh[b z] + (a^2 + 3 b^2) Sinh[b z]) + 4 b Sin[a z] (2 a (a^2 + 2 b^2) Cosh[b z] - a b (a^2 + b^2) z Sinh[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