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 Cosh

 http://functions.wolfram.com/01.20.21.1201.01

 Input Form

 Integrate[E^(b z^2 + d z + e) Sin[a z^2 + p z + q] Cosh[c z^2 + f z + g], z] == (1/8) Sqrt[Pi] (((-I) Sqrt[I a + b - c] ((-I) a + b + c) E^(e - g - (d - f + I p)^2/(4 (I a + b - c)) + I q) Erfi[(d - f + I p + 2 I a z + 2 b z - 2 c z)/(2 Sqrt[I a + b - c])] + I (I a + b - c) Sqrt[(-I) a + b + c] E^(e + g - (d + f - I p)^2/(4 ((-I) a + b + c)) - I q) Erfi[(d + f - I p + 2 ((-I) a + b + c) z)/(2 Sqrt[(-I) a + b + c])])/ (a^2 + b^2 + 2 I a c - c^2) + (I Sqrt[(-I) a + b - c] (I a + b + c) E^(e - g - (-d + f + I p)^2/(4 ((-I) a + b - c)) - I q) Erfi[(d - f - I p + 2 b z - 2 (I a + c) z)/(2 Sqrt[(-I) a + b - c])] - (a + I (b - c)) Sqrt[I a + b + c] E^(e + g - (d + f + I p)^2/(4 (I a + b + c)) + I q) Erfi[(d + f + I p + 2 (I a + b + c) z)/(2 Sqrt[I a + b + c])])/ (a^2 + b^2 - 2 I a c - c^2))

 Standard Form

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 MathML Form

 b z 2 + d z + e sin ( a z 2 + p z + q ) cosh ( c z 2 + f z + g ) z 1 8 π ( 1 a 2 + 2 c a + b 2 - c 2 ( ( b - c + a ) b + c - a - ( d + f - p ) 2 4 ( b + c - a ) + e + g - q erfi ( d + f - p + 2 ( b + c - a ) z 2 b + c - a ) - b - c + a ( b + c - a ) - ( d - f + p ) 2 4 ( b - c + a ) + e - g + q erfi ( d - f + p + 2 b z - 2 c z + 2 a z 2 b - c + a ) ) + 1 a 2 - 2 c a + b 2 - c 2 ( b - c - a ( b + c + a ) - ( - d + f + p ) 2 4 ( b - c - a ) + e - g - q erfi ( d - f - p + 2 b z - 2 ( c + a ) z 2 b - c - a ) - ( a + ( b - c ) ) b + c + a - ( d + f + p ) 2 4 ( b + c + a ) + e + g + q erfi ( d + f + p + 2 ( b + c + a ) z 2 b + c + a ) ) ) z b z 2 d z e a z 2 p z q c z 2 f z g 1 8 1 2 1 a 2 2 c a b 2 -1 c 2 -1 b -1 c a b c -1 a 1 2 -1 d f -1 p 2 4 b c -1 a -1 e g -1 q Erfi d f -1 p 2 b c -1 a z 2 b c -1 a 1 2 -1 -1 b -1 c a 1 2 b c -1 a -1 d -1 f p 2 4 b -1 c a -1 e -1 g q Erfi d -1 f p 2 b z -1 2 c z 2 a z 2 b -1 c a 1 2 -1 1 a 2 -1 2 c a b 2 -1 c 2 -1 b -1 c -1 a 1 2 b c a -1 -1 d f p 2 4 b -1 c -1 a -1 e -1 g -1 q Erfi d -1 f -1 p 2 b z -1 2 c a z 2 b -1 c -1 a 1 2 -1 -1 a b -1 c b c a 1 2 -1 d f p 2 4 b c a -1 e g q Erfi d f p 2 b c a z 2 b c a 1 2 -1 [/itex]

 Rule Form

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

 2002-12-18