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ArcSech




Mathematica Notation

Traditional Notation









Elementary Functions > ArcSech[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving elementary functions of the direct function > Involving powers of the direct function





http://functions.wolfram.com/01.30.21.0030.01









  


  








Input Form





Integrate[ArcSech[a z]^3, z] == z ArcSech[a z]^3 - (1/a) (3 I ((-ArcSech[a z]^2) (Log[1 - I/E^ArcSech[a z]] - Log[1 + I/E^ArcSech[a z]]) - 2 ArcSech[a z] (PolyLog[2, -I/E^ArcSech[a z]] - PolyLog[2, I/E^ArcSech[a z]]) - 2 PolyLog[3, -I/E^ArcSech[a z]] + 2 PolyLog[3, I/E^ArcSech[a z]]))








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