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Cos




Mathematica Notation

Traditional Notation









Elementary Functions > Cos[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Arguments involving inverse hyperbolic functions > Involving sech-1





http://functions.wolfram.com/01.07.21.0510.01









  


  








Input Form





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