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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(b zr+d z+e) cosh(f z+g)





http://functions.wolfram.com/01.20.21.1475.01









  


  










Input Form





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










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