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Cosh




Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving products of powers of the direct function > Involving product of power of the direct function and the direct function > Involving cosh(c z)coshnu(a z)





http://functions.wolfram.com/01.20.21.2123.01









  


  








Input Form





Integrate[Cosh[2 a z] Cosh[a z]^v, z] == (-(1/(a (-2 + v) (2 + v)))) ((2^(-1 - v) (E^((-a) z) + E^(a z))^v ((-2 + v) Hypergeometric2F1[-1 - v/2, -v, -(v/2), -E^(2 a z)] + E^(4 a z) (2 + v) Hypergeometric2F1[1 - v/2, -v, 2 - v/2, -E^(2 a z)]))/ (E^(2 a z) (1 + E^(2 a z))^v))








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