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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 ab zr+d z+e cosh(c zr)





http://functions.wolfram.com/01.20.21.0239.01









  


  








Input Form





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








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