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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/01.19.21.1829.01









  


  










Input Form





Integrate[Sqrt[(a + b Sinh[e z])/(c + d Sinh[e z])], z] == 2 Sqrt[((I c + d) Cot[(1/4) (Pi - 2 I e z)]^2)/((-I) c + d)] ((-(a - I b)) d EllipticF[ArcSin[Sqrt[((a - I b) (c + d Sinh[e z]))/ (((-b) c + a d) (I + Sinh[e z]))]], (2 I ((-b) c + a d))/ ((a - I b) (c + I d))] + b (c - I d) EllipticPi[(b c - a d)/((-a) d + I b d), ArcSin[Sqrt[((a - I b) (c + d Sinh[e z]))/(((-b) c + a d) (I + Sinh[e z]))]], (2 I ((-b) c + a d))/((a - I b) (c + I d))]) Sech[e z] (Cosh[(e z)/2] - I Sinh[(e z)/2])^4 Sqrt[(a + b Sinh[e z])/(c + d Sinh[e z])] (Sqrt[((a - I b) (c + d Sinh[e z]))/(((-b) c + a d) (I + Sinh[e z]))]/ ((a - I b) d e (I + Sinh[e z]) Sqrt[((c - I d) (a + b Sinh[e z]))/ ((b c - a d) (I + Sinh[e 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