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Cos






Mathematica Notation

Traditional Notation









Elementary Functions > Cos[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Arguments involving rational functions > Involving a z2+b/z2+c





http://functions.wolfram.com/01.07.21.0471.01









  


  










Input Form





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