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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 ad z+e sinh(c zr+f z+g)





http://functions.wolfram.com/01.19.21.0484.01









  


  










Input Form





Integrate[a^(d z + e) Sinh[c Sqrt[z] + f z + g], z] == ((1/4) a^e (-((c E^(c^2/(4 f - 4 d Log[a])) Sqrt[Pi] Erfi[(-c - 2 Sqrt[z] (f - d Log[a]))/(2 Sqrt[-f + d Log[a]])])/ (-f + d Log[a])^(3/2)) - (c E^(2 g - c^2/(4 (f + d Log[a]))) Sqrt[Pi] Erfi[(c + 2 Sqrt[z] (f + d Log[a]))/(2 Sqrt[f + d Log[a]])])/ (f + d Log[a])^(3/2) + 2 a^(d z) E^((-c) Sqrt[z] - f z) (1/(f - d Log[a]) + E^(2 (g + c Sqrt[z] + f z))/(f + d Log[a]))))/E^g










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