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Tanh






Mathematica Notation

Traditional Notation









Elementary Functions > Tanh[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving algebraic functions of the direct function > Involving (a+b tanh2(c z))beta





http://functions.wolfram.com/01.21.21.0242.01









  


  










Input Form





Integrate[Sqrt[a + b Tanh[c z]^2], z] == (1/(2 c Sqrt[a + b])) (-2 Sqrt[b] Sqrt[a + b] Log[2 (Sqrt[b] Tanh[c z] + Sqrt[a + b Tanh[c z]^2])] - (a + b) (Log[(4 (a - b Tanh[c z] + Sqrt[a + b] Sqrt[a + b Tanh[c z]^2]))/ ((a + b)^(3/2) (1 + Tanh[c z]))] - Log[-((4 (a + b Tanh[c z] + Sqrt[a + b] Sqrt[a + b Tanh[c z]^2]))/ ((a + b)^(3/2) (-1 + 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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