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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 and a power function > Involving exp and power > Involving zalpha-1eb zrcos(c zr+g)





http://functions.wolfram.com/01.07.21.0415.01









  


  










Input Form





Integrate[z^4 E^(b z^2) Cos[c z^2 + g], z] == (E^((-I) g + (b - I c) z^2) z (-3 + 2 (b - I c) z^2))/(8 (b - I c)^2) + (E^(I g + (b + I c) z^2) z (-3 + 2 (b + I c) z^2))/(8 (b + I c)^2) + (3 Sqrt[Pi] Erfi[Sqrt[b - I c] z])/(E^(I g) (16 (b - I c)^(5/2))) + (3 E^(I g) Sqrt[Pi] Erfi[Sqrt[b + I c] z])/(16 (b + I c)^(5/2))










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