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Cosh






Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function > Involving exp > Involving ad z+e cosh(c zr+g)





http://functions.wolfram.com/01.20.21.0246.01









  


  










Input Form





Integrate[a^(d z + e) Cosh[c Sqrt[z] + g], z] == (1/(4 (d Log[a])^(3/2))) (a^e E^(-g - c Sqrt[z] - c^2/(4 d Log[a])) (c E^(c Sqrt[z]) Sqrt[Pi] Erfi[(-c + 2 d Sqrt[z] Log[a])/ (2 Sqrt[d Log[a]])] - c E^(2 g + c Sqrt[z]) Sqrt[Pi] Erfi[(c + 2 d Sqrt[z] Log[a])/(2 Sqrt[d Log[a]])] + 2 a^(d z) E^(c^2/(4 d Log[a])) (1 + E^(2 (g + c Sqrt[z]))) Sqrt[d Log[a]]))










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