html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 Erfi

 http://functions.wolfram.com/06.28.21.0047.01

 Input Form

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

 Standard Form

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 MathML Form

 z cos ( b z 2 ) erfi ( c + a z ) z 1 b ( a 4 + b 2 ) ( ( 1 8 + 8 ) - a 2 c 2 a 2 - b ( 2 a ( a 2 - b ) b - a 2 ( a 4 + 2 b a 2 + b 2 ) c 2 a 4 + b 2 erf ( ( 1 + ) ( z a 2 + c a + b z ) 2 b - a 2 ) - ( a 2 + b ) ( 2 a a 2 + b c 2 erfi ( ( 1 + ) ( z a 2 + c a - b z ) 2 a 2 + b ) + ( a 2 + b ) a 2 c 2 a 2 - b ( 2 + 2 ) erfi ( c + a z ) sin ( b z 2 ) ) ) ) z z b z 2 Erfi c a z 1 b a 4 b 2 -1 1 8 8 -1 -1 a 2 c 2 a 2 -1 b -1 2 1 2 a a 2 -1 b b -1 a 2 1 2 a 4 2 b a 2 b 2 c 2 a 4 b 2 -1 Erf 1 z a 2 c a b z 2 1 2 b -1 a 2 1 2 -1 -1 a 2 b 2 1 2 a a 2 b 1 2 c 2 Erfi 1 z a 2 c a -1 b z 2 1 2 a 2 b 1 2 -1 a 2 b a 2 c 2 a 2 -1 b -1 2 2 Erfi c a z b z 2 [/itex]

 Rule Form

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

 2001-10-29

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