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Sech






Mathematica Notation

Traditional Notation









Elementary Functions > Sech[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Arguments involving inverse trigonometric functions > Involving cos-1





http://functions.wolfram.com/01.24.21.0041.01









  


  










Input Form





Integrate[Sech[a ArcCos[z]], z] == (1/(1 + a^2)) (((1 - I a) E^(a ArcCos[z]) Hypergeometric2F1[(-I + a)/(2 a), 1, 3/2 - I/(2 a), -E^(2 a ArcCos[z])] + (1 + I a) E^((2 I + a) ArcCos[z]) Hypergeometric2F1[(I + a)/(2 a), 1, 3/2 + I/(2 a), -E^(2 a ArcCos[z])])/ E^(I ArcCos[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)





2002-12-18





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