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/06.28.21.0081.01

 Input Form

 Integrate[z Sinh[b z^2] Erfi[c + a z], z] == (Cosh[b z^2] Erfi[c + a z])/(2 b) - (a E^c^2 ((a^2 Sqrt[a^2 - b] Erfi[(a c + a^2 z - b z)/Sqrt[a^2 - b]])/ E^((a^2 c^2)/(a^2 - b)) + (Sqrt[a^2 - b] b Erfi[(a c + a^2 z - b z)/Sqrt[a^2 - b]])/ E^((a^2 c^2)/(a^2 - b)) + (a^2 Sqrt[a^2 + b] Erfi[(a c + a^2 z + b z)/Sqrt[a^2 + b]])/E^((a^2 c^2)/(a^2 + b)) - (b Sqrt[a^2 + b] Erfi[(a c + a^2 z + b z)/Sqrt[a^2 + b]])/ E^((a^2 c^2)/(a^2 + b))))/(4 (a^2 - b) b (a^2 + b))

 Standard Form

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 MathML Form

 z sinh ( b z 2 ) erfi ( c + a z ) z cosh ( b z 2 ) erfi ( c + a z ) 2 b - ( a c 2 ( a 2 - b - a 2 c 2 a 2 - b erfi ( z a 2 + c a - b z a 2 - b ) a 2 + a 2 + b - a 2 c 2 a 2 + b erfi ( z a 2 + c a + b z a 2 + b ) a 2 + a 2 - b b - a 2 c 2 a 2 - b erfi ( z a 2 + c a - b z a 2 - b ) - b a 2 + b - a 2 c 2 a 2 + b erfi ( z a 2 + c a + b z a 2 + b ) ) ) / ( 4 ( a 2 - b ) b ( a 2 + b ) ) z z b z 2 Erfi c a z b z 2 Erfi c a z 2 b -1 -1 a c 2 a 2 -1 b 1 2 -1 a 2 c 2 a 2 -1 b -1 Erfi z a 2 c a -1 b z a 2 -1 b 1 2 -1 a 2 a 2 b 1 2 -1 a 2 c 2 a 2 b -1 Erfi z a 2 c a b z a 2 b 1 2 -1 a 2 a 2 -1 b 1 2 b -1 a 2 c 2 a 2 -1 b -1 Erfi z a 2 c a -1 b z a 2 -1 b 1 2 -1 -1 b a 2 b 1 2 -1 a 2 c 2 a 2 b -1 Erfi z a 2 c a b z a 2 b 1 2 -1 4 a 2 -1 b b a 2 b -1 [/itex]

 Rule Form

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

 2001-10-29