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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))n)beta





http://functions.wolfram.com/01.21.21.0248.01









  


  










Input Form





Integrate[Sqrt[(a + b Tanh[c z]^2)^3], z] == -(Sqrt[(a + b Tanh[c z]^2)^3] (Sqrt[b] (3 a + 2 b) Log[2 (Sqrt[b] Tanh[c z] + Sqrt[a + b Tanh[c z]^2])] + (a + b)^(3/2) (Log[(4 (a - b Tanh[c z] + Sqrt[a + b] Sqrt[a + b Tanh[c z]^2]))/((a + b)^(5/2) (1 + Tanh[c z]))] - Log[-((4 (a + b Tanh[c z] + Sqrt[a + b] Sqrt[a + b Tanh[c z]^2]))/ ((a + b)^(5/2) (-1 + Tanh[c z])))]) + b Tanh[c z] Sqrt[a + b Tanh[c z]^2]))/(2 c (a + b Tanh[c z]^2)^(3/2))










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