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 Cosh

 http://functions.wolfram.com/01.20.21.0342.01

 Input Form

 Integrate[z^(9/2) E^(b z + e) Cosh[c z], z] == (1/2) E^e z^(11/2) (-((E^((b - c) z) ((-b + c) z)^(9/2) + (9/2) (E^((b - c) z) ((-b + c) z)^(7/2) + ((7/16) (15 E^(c z) Sqrt[Pi] + 2 E^(b z) Sqrt[(-b + c) z] (15 + 10 c z + 4 b^2 z^2 + 4 c^2 z^2 - 2 b z (5 + 4 c z)) - 15 E^(c z) Sqrt[Pi] Erf[Sqrt[(-b + c) z]]))/E^(c z)))/ ((-b + c) z)^(11/2)) - (1/((-(b + c)) z)^(11/2)) (E^((b + c) z) ((-(b + c)) z)^(9/2) + (9/2) (E^((b + c) z) ((-(b + c)) z)^(7/2) + (7/16) (15 Sqrt[Pi] + 2 E^((b + c) z) Sqrt[(-(b + c)) z] (15 - 10 c z + 4 b^2 z^2 + 4 c^2 z^2 + 2 b z (-5 + 4 c z)) - 15 Sqrt[Pi] Erf[Sqrt[(-(b + c)) z]]))))

 Standard Form

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 MathML Form

 z 9 / 2 e + b z cosh ( c z ) z 1 2 e z 11 / 2 ( - 1 ( ( c - b ) z ) 11 / 2 ( ( b - c ) z ( ( c - b ) z ) 9 / 2 + 9 2 ( ( b - c ) z ( ( c - b ) z ) 7 / 2 + 7 16 - c z ( 2 b z ( c - b ) z ( 4 b 2 z 2 + 4 c 2 z 2 + 10 c z - 2 b ( 4 c z + 5 ) z + 15 ) - 15 c z π erf ( ( c - b ) z ) + 15 c z π ) ) ) - 1 ( - ( b + c ) z ) 11 / 2 ( ( b + c ) z ( - ( b + c ) z ) 9 / 2 + 9 2 ( ( b + c ) z ( - ( b + c ) z ) 7 / 2 + 7 16 ( 2 ( b + c ) z - ( b + c ) z ( 4 b 2 z 2 + 4 c 2 z 2 - 10 c z + 2 b ( 4 c z - 5 ) z + 15 ) - 15 π erf ( - ( b + c ) z ) + 15 π ) ) ) ) z z 9 2 e b z c z 1 2 e z 11 2 -1 1 c -1 b z 11 2 -1 b -1 c z c -1 b z 9 2 9 2 b -1 c z c -1 b z 7 2 7 16 -1 c z 2 b z c -1 b z 1 2 4 b 2 z 2 4 c 2 z 2 10 c z -1 2 b 4 c z 5 z 15 -1 15 c z 1 2 Erf c -1 b z 1 2 15 c z 1 2 -1 1 -1 b c z 11 2 -1 b c z -1 b c z 9 2 9 2 b c z -1 b c z 7 2 7 16 2 b c z -1 b c z 1 2 4 b 2 z 2 4 c 2 z 2 -1 10 c z 2 b 4 c z -5 z 15 -1 15 1 2 Erf -1 b c z 1 2 15 1 2 [/itex]

 Rule Form

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

 2002-12-18