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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 polynomials or algebraic functions and factors involving exponential functions > Involving exp > Involving ab zr+e sinh(c zr+f z+g)





http://functions.wolfram.com/01.19.21.0493.01









  


  










Input Form





Integrate[E^(b Sqrt[z] + e) Sinh[c Sqrt[z] + f z + g], z] == (E^(e + b Sqrt[z]) Cosh[g + c Sqrt[z] + f z])/f + ((b - c) E^((b^2 - 2 b c + c^2 + 4 f (e - g))/(4 f)) Sqrt[Pi] Erfi[(b - c - 2 f Sqrt[z])/(2 Sqrt[-f])])/(4 (-f)^(3/2)) - ((b + c) Sqrt[Pi] Erfi[(b + c + 2 f Sqrt[z])/(2 Sqrt[f])])/ (E^((b^2 + 2 b c + c^2 - 4 f (e + g))/(4 f)) (4 f^(3/2)))










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