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Cosh






Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving algebraic functions of the direct function > Involving (a+b cosh2(c z))beta coshnu(c z)





http://functions.wolfram.com/01.20.21.2405.01









  


  










Input Form





Integrate[(a + b Cosh[c z]^2)^(3/2) Cosh[c z]^3, z] == (1/(96 b^(3/2) c)) (-6 (a - 5 b) (a + b)^2 ArcTanh[(Sqrt[2] Sqrt[b] Sinh[c z])/Sqrt[2 a + b + b Cosh[2 c z]]] + Sqrt[2] Sqrt[b] Sqrt[2 a + b + b Cosh[2 c z]] (3 a^2 + 29 a b + 23 b^2 + b (7 a + 9 b) Cosh[2 c z] + b^2 Cosh[4 c z]) Sinh[c 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)





2002-12-18