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; }

 Erf

 http://functions.wolfram.com/06.25.21.0047.01

 Input Form

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

 Standard Form

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 MathML Form

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

 Rule Form

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

 2001-10-29