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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 sin and power





http://functions.wolfram.com/06.25.21.0037.01









  


  










Input Form





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










Standard Form





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MathML Form







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<times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <times /> <cn type='integer'> 4 </cn> <ci> b </ci> <apply> <plus /> <apply> <power /> <ci> a </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <power /> <exponentiale /> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <plus /> <apply> <times /> <ci> a </ci> <apply> <plus /> <apply> <times /> <apply> <power /> <apply> <plus /> <apply> <power /> <ci> a </ci> <cn type='integer'> 2 </cn> </apply> <apply> <times /> <ci> b </ci> <imaginaryi /> </apply> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <plus /> <apply> <power /> <ci> a </ci> <cn type='integer'> 2 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <imaginaryi /> <ci> b </ci> </apply> </apply> 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Rule Form





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





2001-10-29