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ArcTanh






Mathematica Notation

Traditional Notation









Elementary Functions > ArcTanh[z] > Integration > Indefinite integration > For the direct function itself





http://functions.wolfram.com/01.27.21.0009.01









  


  










Input Form





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





2001-10-29





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