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Sech






Mathematica Notation

Traditional Notation









Elementary Functions > Sech[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving rational functions of the direct function > Involving (a+b sech2(z))-n





http://functions.wolfram.com/01.24.21.0311.01









  


  










Input Form





Integrate[1/(a + b Sech[z]^2)^2, z] == (a + 2 b + a Cosh[2 z]) Sech[z]^4 ((2 z (a + 2 b + a Cosh[2 z]) - (Sqrt[b] (3 a + 2 b) ArcTanh[(Sqrt[b] Tanh[z])/Sqrt[a + b]] (a + 2 b + a Cosh[2 z]))/(a + b)^(3/2) - (a b Sinh[2 z])/(a + b))/ (8 a^2 (a + b Sech[z]^2)^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