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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)





http://functions.wolfram.com/01.07.21.0365.01









  


  










Input Form





Integrate[z E^(b Sqrt[z]) Cos[c Sqrt[z]], z] == (1/(b^2 + c^2)^4) (2 E^(b Sqrt[z]) ((-6 (b^4 - 6 b^2 c^2 + c^4) + 6 b (b^2 - 3 c^2) (b^2 + c^2) Sqrt[z] - 3 (b - c) (b + c) (b^2 + c^2)^2 z + b (b^2 + c^2)^3 z^(3/2)) Cos[c Sqrt[z]] + c (-24 b (b - c) (b + c) + 6 (3 b^2 - c^2) (b^2 + c^2) Sqrt[z] - 6 b (b^2 + c^2)^2 z + (b^2 + c^2)^3 z^(3/2)) Sin[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