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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/06.25.21.0034.01









  


  










Input Form





Integrate[z^2 Sin[b z] Erf[a z], z] == (1/(8 a^4 b^3 Sqrt[Pi])) (E^(-(b^2/(4 a^2)) - I b z - a^2 z^2) (8 I a^3 b E^(b^2/(4 a^2)) + 2 I a b^3 E^(b^2/(4 a^2)) - 8 I a^3 b E^((1/4) b (b/a^2 + 8 I z)) - 2 I a b^3 E^((1/4) b (b/a^2 + 8 I z)) - 4 a^3 b^2 E^(b^2/(4 a^2)) z - 4 a^3 b^2 E^((1/4) b (b/a^2 + 8 I z)) z - 4 a^4 E^(b^2/(4 a^2) + a^2 z^2) Sqrt[Pi] (2 I b (-1 + E^(2 I b z)) z + (1 + E^(2 I b z)) (-2 + b^2 z^2)) Erf[a z] - (8 a^4 + 2 a^2 b^2 + b^4) E^(z (I b + a^2 z)) Sqrt[Pi] Erf[(I b + 2 a^2 z)/(2 a)] + 8 I a^4 E^(z (I b + a^2 z)) Sqrt[Pi] Erfi[b/(2 a) + I a z] + 2 I a^2 b^2 E^(z (I b + a^2 z)) Sqrt[Pi] Erfi[b/(2 a) + I a z] + I b^4 E^(z (I b + a^2 z)) Sqrt[Pi] Erfi[b/(2 a) + I a 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





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