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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 cos(c zr+f z+g)





http://functions.wolfram.com/01.07.21.0547.01









  


  








Input Form





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