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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/01.19.21.1832.01









  


  










Input Form





Integrate[1/((a + b Sinh[e z]^2) Sqrt[(a + b Sinh[e z]^2)/ (c + d Sinh[e z]^2)]), z] == -(I Sqrt[1 - b/a] Cosh[e z] EllipticE[ I ArcSinh[(Sqrt[2 - (2 b)/a] Sinh[e z])/Sqrt[(2 a - b + b Cosh[2 e z])/ a]], (b c - a d)/((-a) c + b c)])/ ((a - b) e Sqrt[(a Cosh[e z]^2)/(2 a - b + b Cosh[2 e z])] Sqrt[(2 a - b + b Cosh[2 e z])/a] Sqrt[(a (2 c - d + d Cosh[2 e z]))/ (c (2 a - b + b Cosh[2 e z]))] Sqrt[(a + b Sinh[e z]^2)/(c + d Sinh[e z]^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