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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 tanh





http://functions.wolfram.com/01.24.21.0418.01









  


  








Input Form





Integrate[((-Sqrt[4 - 3 Tanh[z]] + 3 Tanh[z]) Sech[z]^2)/ Sqrt[(4 - 3 Tanh[z])^3], z] == (Sqrt[4 - 3 Tanh[z]] (4 (-Log[Cosh[z]] + Log[4 Cosh[z] - 3 Sinh[z]] + 4 Sqrt[4 - 3 Tanh[z]]) - 3 (-Log[Cosh[z]] + Log[4 Cosh[z] - 3 Sinh[z]] + 2 Sqrt[4 - 3 Tanh[z]]) Tanh[z]))/(3 Sqrt[(4 - 3 Tanh[z])^3])








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