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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) cosh(c zr)





http://functions.wolfram.com/01.20.21.1487.01









  


  








Input Form





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