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Cos






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.07.21.0249.01









  


  










Input Form





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










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