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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric functions > Involving powers of cos > Involving cosmu(c z+d)sinh(a z)





http://functions.wolfram.com/01.19.21.0772.01









  


  










Input Form





Integrate[Cos[d + c z]^m Sinh[a z], z] == (Binomial[m, m/2] (1 - Mod[m, 2]) (Cosh[a z]/a))/2^m + 2^(1 - m) Sum[Binomial[m, s] (1/(a^2 + c^2 (m - 2 s)^2)) (a Cos[(m - 2 s) (d + c z)] Cosh[a z] + c (m - 2 s) Sin[(m - 2 s) (d + c z)] Sinh[a z]), {s, 0, Floor[(1/2) (-1 + m)]}] /; Element[m, Integers] && m > 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)





2002-12-18