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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 > Other integrals





http://functions.wolfram.com/01.19.21.1834.01









  


  










Input Form





Integrate[1/Sqrt[(a + b Sinh[e z]^2) (c + d Sinh[e z]^2)], z] == ((2 a - b + b Cosh[2 e z]) Sqrt[(c Coth[e z]^2)/(c - d)] Sqrt[(a (2 c - d + d Cosh[2 e z]) Csch[e z]^2)/((-b) c + a d)] EllipticF[ArcSin[Sqrt[(a (2 c - d + d Cosh[2 e z]) Csch[e z]^2)/ (-2 b c + 2 a d)]], (b c - a d)/(a c - a d)] Tanh[e z])/ (a e Sqrt[(2 a - b + b Cosh[2 e z]) (2 c - d + d Cosh[2 e z])] Sqrt[(c (2 a - b + b Cosh[2 e z]) Csch[e z]^2)/(b c - a d)])










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