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Sech






Mathematica Notation

Traditional Notation









Elementary Functions > Sech[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving hyperbolic functions > Involving algebraic functions of cosh > Involving (a+b cosh(2c z))beta





http://functions.wolfram.com/01.24.21.0124.01









  


  










Input Form





Integrate[Sqrt[a + b Cosh[2 c z]] Sech[c z], z] == (1/c) (Sqrt[a - b] ArcTan[(Sqrt[a - b] Sinh[c z])/Sqrt[a + b Cosh[2 c z]]] + (Sqrt[2] Sqrt[b] Sqrt[a + b] ArcSinh[(Sqrt[2] Sqrt[b] Sinh[c z])/ Sqrt[a + b]] Sqrt[(a + b Cosh[2 c z])/(a + b)])/ Sqrt[a + b Cosh[2 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