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Sinh




Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving functions of the direct function and exponential function > Involving powers of the direct function and exponential function > Involving powers of sinh and exp > Involving ep z+e sinhnu(a z+b)





http://functions.wolfram.com/01.19.21.2098.01









  


  








Input Form





Integrate[E^(p z + e) Sinh[a z + b]^\[Nu], z] == (1/(p + a \[Nu])) ((E^(e + p z) Hypergeometric2F1[-((p + a \[Nu])/(2 a)), -\[Nu], (1/2) (2 - p/a - \[Nu]), E^(-2 (b + a z))] Sinh[b + a z]^\[Nu])/ (1 - E^(-2 (b + a z)))^\[Nu])








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