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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-1 eb z cos(c z)





http://functions.wolfram.com/01.07.21.0308.01









  


  










Input Form





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










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