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Tanh






Mathematica Notation

Traditional Notation









Elementary Functions > Tanh[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving powers of the direct function > Involving powers of tanh > Linear argument





http://functions.wolfram.com/01.21.21.0218.01









  


  










Input Form





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










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