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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 and a power function > Involving exp and power > Involving zalpha-1 eb z sinh(c z)





http://functions.wolfram.com/01.19.21.0280.01









  


  










Input Form





Integrate[z^n E^(b z) Sinh[c z], z] == (1/2) n! ((c - b)^(-1 - n) E^((-c + b) z) Sum[((c - b) z)^k/k!, {k, 0, n}] - (-c - b)^(-1 - n) E^((c + b) z) Sum[((-(c + b)) z)^k/k!, {k, 0, 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