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Erfc






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/06.27.21.0068.01









  


  










Input Form





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










Standard Form





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MathML Form







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<apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29





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