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Sech






Mathematica Notation

Traditional Notation









Elementary Functions > Sech[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving hyperbolic functions > Involving rational functions of sinh > Involving 1/a+b sinh(d z)





http://functions.wolfram.com/01.24.21.0094.01









  


  










Input Form





Integrate[(A + B Sech[z])/(a + b Sinh[z]), z] == (-(1/(-a^2 - b^2)^(3/2))) (2 a Sqrt[-a^2 - b^2] B ArcTan[Tanh[z/2]] + 2 A (a^2 + b^2) ArcTan[(b - a Tanh[z/2])/Sqrt[-a^2 - b^2]] + b Sqrt[-a^2 - b^2] B (-Log[Cosh[z]] + Log[a + b Sinh[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