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variants of this functions
Erf






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Erf[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric functions and a power function > Involving cos and power





http://functions.wolfram.com/06.25.21.0043.01









  


  










Input Form





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





2001-10-29