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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 algebraic functions of the direct function and hyperbolic functions > Involving algebraic functions of tanh





http://functions.wolfram.com/01.24.21.0472.01









  


  








Input Form





Integrate[(-3 Tanh[z] + (Sech[z]^6 Tanh[z])^(1/3))/(Cosh[z]^5 Sinh[z])^(2/3), z] == (3 Sinh[z] (-72 (15 + 12 Sech[z]^2 + 8 Sech[z]^4) Tanh[z]^2 + 252 (7 + 3 Cosh[2 z]) Sinh[z]^2 (Sech[z]^6 Tanh[z])^(2/3) + 5 Cosh[z]^2 (55 + 48 Cosh[2 z] + 9 Cosh[4 z]) (Sech[z]^6 Tanh[z])^(4/3)))/ (1120 (Cosh[z]^5 Sinh[z])^(2/3) (Sech[z]^6 Tanh[z])^(2/3) (-3 Sinh[z] + Cosh[z] (Sech[z]^6 Tanh[z])^(1/3)))








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