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ArcSech






Mathematica Notation

Traditional Notation









Elementary Functions > ArcSech[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Arguments involving hyperbolic functions > Involving coth





http://functions.wolfram.com/01.30.21.0025.01









  


  










Input Form





Integrate[ArcSech[Coth[z]], z] == (-Cosh[z]) Sinh[z] (2 Cosh[(1/2) ArcSech[Coth[z]]]^2 (-1 + Coth[z]) PolyLog[2, -E^(-ArcSech[Coth[z]])] + 2 (1 + Coth[z]) PolyLog[2, E^(-ArcSech[Coth[z]])] Sinh[(1/2) ArcSech[Coth[z]]]^2 + ArcSech[Coth[z]] Csch[z] (Cosh[(1/2) ArcSech[Coth[z]]]^2 (Log[1 + E^(-2 ArcSech[Coth[z]])] - 2 Log[1 + E^(-ArcSech[Coth[z]])]) (Cosh[z] - Sinh[z]) + (Log[1 + E^(-2 ArcSech[Coth[z]])] - 2 Log[1 - E^(-ArcSech[Coth[z]])]) (Cosh[z] + Sinh[z]) Sinh[(1/2) ArcSech[Coth[z]]]^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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