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Sech






Mathematica Notation

Traditional Notation









Elementary Functions > Sech[z] > Integration > Indefinite integration > Involving functions of the direct function and hyperbolic functions > Involving powers of the direct function and hyperbolic functions > Involving algebraic functions of sinh





http://functions.wolfram.com/01.24.21.0384.01









  


  










Input Form





Integrate[Sqrt[a + b Sinh[c z]] Sech[c z]^2, z] == (1/(c Sqrt[a + b Sinh[c z]])) ((-I) (a - I b) EllipticE[(1/4) (Pi - 2 I c z), -((2 I b)/(a - I b))] Sqrt[(a + b Sinh[c z])/(a - I b)] + I a EllipticF[(1/4) (Pi - 2 I c z), -((2 I b)/(a - I b))] Sqrt[(a + b Sinh[c z])/(a - I b)] + (a + b Sinh[c z]) Tanh[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





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