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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)





http://functions.wolfram.com/01.19.21.0458.01









  


  










Input Form





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










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