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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))beta coshv(c z)





http://functions.wolfram.com/01.20.21.2360.01









  


  










Input Form





Integrate[(a + b Cosh[2 c z])^(3/2) Cosh[c z]^3, z] == (1/(64 c)) (((Sqrt[2] (a + b)^2 (-a + 11 b))/b^(3/2)) ArcTanh[(Sqrt[2] Sqrt[b] Sinh[c z])/Sqrt[a + b Cosh[2 c z]]] + (1/(3 b)) (2 Sqrt[a + b Cosh[2 c z]] (3 a^2 + 52 a b + 37 b^2 + 2 b (7 a + 11 b) Cosh[2 c z] + 4 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