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 Erf

 http://functions.wolfram.com/06.25.21.0061.01

 Input Form

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

 Standard Form

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 MathML Form

 z b z 2 sin ( c z 2 ) erf ( a z ) z ( a z ( - ( a 2 - b + c ) z 2 b + ( a 2 - b - c ) z 2 b - ( b + c ) ( a 2 - b - c ) z 2 erf ( ( a 2 - b + c ) z 2 ) + ( b - c ) ( a 2 - b + c ) z 2 erf ( ( a 2 - b - c ) z 2 ) + c ( a 2 - b + c ) z 2 + c ( a 2 - b - c ) z 2 ) + 2 b z 2 ( a 2 - b + c ) z 2 ( a 2 - b - c ) z 2 erf ( a z ) ( c cos ( c z 2 ) - b sin ( c z 2 ) ) ) / ( 4 ( b - c ) ( c - b ) ( a 2 - b - c ) z 2 ( a 2 - b + c ) z 2 ) z z b z 2 c z 2 Erf a z a z -1 a 2 -1 b c z 2 1 2 b a 2 -1 b -1 c z 2 1 2 b -1 b c a 2 -1 b -1 c z 2 1 2 Erf a 2 -1 b c z 2 1 2 b -1 c a 2 -1 b c z 2 1 2 Erf a 2 -1 b -1 c z 2 1 2 c a 2 -1 b c z 2 1 2 c a 2 -1 b -1 c z 2 1 2 2 b z 2 a 2 -1 b c z 2 1 2 a 2 -1 b -1 c z 2 1 2 Erf a z c c z 2 -1 b c z 2 4 b -1 c c -1 b a 2 -1 b -1 c z 2 1 2 a 2 -1 b c z 2 1 2 -1 [/itex]

 Rule Form

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

 2001-10-29