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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Arguments involving algebraic functions > Involving a z+b z1/2





http://functions.wolfram.com/01.19.21.0412.01









  


  










Input Form





Integrate[Sinh[a z + b Sqrt[z]], z] == (1/(4 a^(3/2))) (2 Sqrt[a] E^((-b) Sqrt[z] - a z) (1 + E^(2 b Sqrt[z] + 2 a z)) + b E^(b^2/(4 a)) Sqrt[Pi] Erf[(b + 2 a Sqrt[z])/(2 Sqrt[a])] - (b Sqrt[Pi] Erfi[(b + 2 a Sqrt[z])/(2 Sqrt[a])])/E^(b^2/(4 a)))










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