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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving algebraic functions > Involving (a z+b)beta





http://functions.wolfram.com/01.19.21.0158.01









  


  










Input Form





Integrate[(a z + b)^\[Beta] Sinh[c z], z] == (1/(2 c)) (((b + a z)^\[Beta] (((c (b + a z))/a)^\[Beta] Gamma[1 + \[Beta], -((c (b + a z))/a)] (Cosh[(b c)/a] - Sinh[(b c)/a]) + (-((c (b + a z))/a))^\[Beta] Gamma[1 + \[Beta], (c (b + a z))/a] (Cosh[(b c)/a] + Sinh[(b c)/a])))/ (-((c^2 (b + a z)^2)/a^2))^\[Beta])










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