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ArcSech






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.30.21.0035.01









  


  










Input Form





Integrate[z ArcSech[a z]^3, z] == (1/(2 a^2)) (ArcSech[a z] (-3 (-1 + Sqrt[(1 - a z)/(1 + a z)] + a z Sqrt[(1 - a z)/(1 + a z)]) ArcSech[a z] + a^2 z^2 ArcSech[a z]^2 + 6 Log[1 + E^(-2 ArcSech[a z])]) - 3 PolyLog[2, -E^(-2 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