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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 trigonometric functions and a power function > Involving sin and power





http://functions.wolfram.com/06.27.21.0036.01









  


  










Input Form





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





2001-10-29





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