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ArcCoth






Mathematica Notation

Traditional Notation









Elementary Functions > ArcCoth[z] > Integration > Indefinite integration > Other





http://functions.wolfram.com/01.28.21.0015.01









  


  










Input Form





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










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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