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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 cosh(2c z))m)+-1/2cosh(c z)





http://functions.wolfram.com/01.20.21.2355.01









  


  










Input Form





Integrate[Sqrt[(a + b Cosh[2 c z])^5] Cosh[c z], z] == (Sqrt[(a + b Cosh[2 c z])^5]/(32 c)) (((5 Sqrt[2] (a + b)^3)/(Sqrt[b] (a + b Cosh[2 c z])^(5/2))) ArcTanh[(Sqrt[2] Sqrt[b] Sinh[c z])/Sqrt[a + b Cosh[2 c z]]] + (2 (33 a^2 + 40 a b + 19 b^2 + 2 b (13 a + 5 b) Cosh[2 c z] + 4 b^2 Cosh[4 c z]) Sinh[c z])/(3 (a + b Cosh[2 c z])^2))










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