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ArcSech






Mathematica Notation

Traditional Notation









Elementary Functions > ArcSech[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving power function > Involving power > Linear argument





http://functions.wolfram.com/01.30.21.0004.01









  


  










Input Form





Integrate[z^(\[Alpha] - 1) ArcSech[a z], z] == (1/\[Alpha]^2) (z^\[Alpha] (\[Alpha] ArcSech[a z] + (1/Sqrt[1 - a z]) (Sqrt[(1 - a z)/(1 + a z)] Sqrt[1 + a z] Hypergeometric2F1[\[Alpha]/2, 1/2, 1 + \[Alpha]/2, a^2 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