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Cosh




Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric and exponential functions > Involving cos and exp > Involving ep z cos(b zr)cosh(c zr)





http://functions.wolfram.com/01.20.21.1268.01









  


  








Input Form





Integrate[E^(p z) Cos[b Sqrt[z]] Cosh[c Sqrt[z]], z] == (1/8) ((8 E^(p z) Cos[b Sqrt[z]] Cosh[c Sqrt[z]])/p - ((b + I c) E^((b + I c)^2/(4 p)) Sqrt[Pi] Erf[(-b - I c - 2 I p Sqrt[z])/(2 Sqrt[p])])/p^(3/2) + ((b - I c) E^((-b + I c)^2/(4 p)) Sqrt[Pi] Erf[(b - I c - 2 I p Sqrt[z])/(2 Sqrt[p])])/p^(3/2) + ((b - I c) E^((b - I c)^2/(4 p)) Sqrt[Pi] Erf[(b - I c + 2 I p Sqrt[z])/(2 Sqrt[p])])/p^(3/2) - (I (b + I c) E^((b + I c)^2/(4 p)) Sqrt[Pi] Erfi[(I b - c + 2 p Sqrt[z])/(2 Sqrt[p])])/p^(3/2))








Standard Form





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MathML Form







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</cn> <ci> p </ci> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <power /> <ci> p </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <power /> <apply> <power /> <ci> p </ci> <cn type='rational'> 3 <sep /> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2002-12-18