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Cosh




Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving hyperbolic functions > Involving sinh > Involving sinh(d z+e) cosh(c zr+f z)





http://functions.wolfram.com/01.20.21.1507.01









  


  








Input Form





Integrate[Sinh[d z + e] Cosh[c z^2 + f z], z] == (1/8) Sqrt[Pi] ((Sqrt[-c] E^(-e + (d + f)^2/(4 c)) Erfi[(-d - f - 2 c z)/(2 Sqrt[-c])])/c - (1/c) (E^(-e - (-d + f)^2/(4 c)) (Sqrt[-c] E^(2 (e + (-d + f)^2/(4 c))) Erfi[(d - f - 2 c z)/(2 Sqrt[-c])] + Sqrt[c] Erfi[(-d + f + 2 c z)/(2 Sqrt[c])])) + (E^(e - (d + f)^2/(4 c)) Erfi[(d + f + 2 c z)/(2 Sqrt[c])])/Sqrt[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