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ArcCsch






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.29.21.0004.01









  


  










Input Form





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