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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 polynomials or algebraic functions and factors involving exponential functions > Involving exp > Involving ab zr+e cos(c zr+f z)





http://functions.wolfram.com/01.07.21.0528.01









  


  










Input Form





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