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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))nu)beta





http://functions.wolfram.com/01.20.21.2395.01









  


  










Input Form





Integrate[1/Sqrt[(a + b Cosh[c z]^2)^5], z] == (I (a + b Cosh[c z]^2)^(5/2) (-2 (a + b)^2 (2 a + b) ((2 a + b + b Cosh[2 c z])/(a + b))^(3/2) EllipticE[I c z, b/(a + b)] + a (a + b)^2 ((2 a + b + b Cosh[2 c z])/(a + b))^(3/2) EllipticF[I c z, b/(a + b)] + I Sqrt[2] b (5 a^2 + 5 a b + b^2 + b (2 a + b) Cosh[2 c z]) Sinh[2 c z]))/ (3 a^2 (a + b)^2 c Sqrt[(a + b Cosh[c z]^2)^5] (2 a + b + b Cosh[2 c z])^ (3/2))










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