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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 sinh(c zr+f z)





http://functions.wolfram.com/01.19.21.0457.01









  


  










Input Form





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