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 Erfc

 http://functions.wolfram.com/06.27.21.0060.01

 Input Form

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

 Standard Form

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 MathML Form

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

 Rule Form

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

 2001-10-29