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Cos






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.07.21.0916.01









  


  










Input Form





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










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