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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function > Involving rational functions of exp > Involving (a+b ed z)-n sinh(c z+e)





http://functions.wolfram.com/01.19.21.0268.01









  


  










Input Form





Integrate[Sinh[c z + e]/(a + b E^(d z))^n, z] == (1/(2 c)) ((E^(-e - c z) Hypergeometric2F1[-(c/d), n, (-c + d)/d, -((b E^(d z))/a)] + E^(e + c z) Hypergeometric2F1[c/d, n, (c + d)/d, -((b E^(d z))/a)])/a^n) /; 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)





2002-12-18