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Sinh




Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving algebraic functions of the direct function > Involving (a+b sinh2(c z))betaand rational function of sinh(c z)





http://functions.wolfram.com/01.19.21.1825.01









  


  








Input Form





Integrate[Sinh[c z]/((d + e Sinh[c z]^2)^2 Sqrt[a + b Sinh[c z]^2]), z] == (-(1/(2 c (d - e)))) (((2 b d - a e - b e) ArcTan[(2 Sqrt[(-b) d + a e] Cosh[c z])/ (Sqrt[2 d - 2 e] Sqrt[2 a - b + b Cosh[2 c z]])])/ (Sqrt[d - e] ((-b) d + a e)^(3/2)) + (e Cosh[c z] Sqrt[4 a - 2 b + 2 b Cosh[2 c z]])/ ((b d - a e) (2 d - e + e 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