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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving powers of the direct function > Involving powers of sin > Involving sinhv(a z)





http://functions.wolfram.com/01.19.21.3419.01









  


  










Input Form





Integrate[Sinh[a z]^(2 n + 1), z] == ((-1)^n Cosh[a z] n! Sqrt[Sech[a z]^2])/(a Pochhammer[3/2, n]) + ((Sech[a z] Sinh[a z]^(2 + 2 n))/(2 a (1 + n))) Hypergeometric2F1[1/2, 1, 2 + n, Tanh[a z]^2] /; Element[n, Integers] && n >= 0










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)





2007-05-02