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Cosh




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.20.21.0436.01









  


  








Input Form





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