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 Cosh

 http://functions.wolfram.com/01.20.21.1313.01

 Input Form

 Integrate[E^(p z) Cos[a z] Cos[b z] Cosh[c z], z] == (1/4) E^(p z) ((p Cos[(a - b + I c) z] + (a - b + I c) Sin[(a - b + I c) z])/ ((a - b + I (c - p)) (a - b + I (c + p))) + (p Cos[(a + b + I c) z] + (a + b + I c) Sin[(a + b + I c) z])/ ((a + b + I (c - p)) (a + b + I (c + p))) + (p Cosh[(I a - I b + c) z] - (I a - I b + c) Sinh[(I a - I b + c) z])/ (((-I) a + I b - c + p) (I a - I b + c + p)) + (p Cosh[(I a + I b + c) z] - I (a + b - I c) Sinh[(I a + I b + c) z])/ ((a + b - I (c - p)) (a + b - I (c + p))))

 Standard Form

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 MathML Form

 p z cos ( a z ) cos ( b z ) cosh ( c z ) z 1 4 p z ( p cos ( ( a - b + c ) z ) + ( a - b + c ) sin ( ( a - b + c ) z ) ( a - b + ( c - p ) ) ( a - b + ( c + p ) ) + p cos ( ( a + b + c ) z ) + ( a + b + c ) sin ( ( a + b + c ) z ) ( a + b + ( c - p ) ) ( a + b + ( c + p ) ) + p cosh ( ( c + a + b ) z ) - ( a + b - c ) sinh ( ( c + a + b ) z ) ( a + b - ( c - p ) ) ( a + b - ( c + p ) ) + p cosh ( ( c - b + a ) z ) - ( c - b + a ) sinh ( ( c - b + a ) z ) ( - c - a + b + p ) ( c - b + a + p ) ) z p z a z b z c z 1 4 p z p a -1 b c z a -1 b c a -1 b c z a -1 b c -1 p a -1 b c p -1 p a b c z a b c a b c z a b c -1 p a b c p -1 p c a b z -1 a b -1 c c a b z a b -1 c -1 p a b -1 c p -1 p c -1 b a z -1 c -1 b a c -1 b a z -1 c -1 a b p c -1 b a p -1 [/itex]

 Rule Form

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

 2002-12-18