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 Cosh

 http://functions.wolfram.com/01.20.21.0881.01

 Input Form

 Integrate[z^n Sin[c z] Cosh[a z], z] == (1/4) I n! ((-(-a + I c)^(-1 - n)) E^((a - I c) z) Sum[((-(a - I c)) z)^k/k!, {k, 0, n}] + (a - I c)^(-1 - n) E^((-a) z + I c z) Sum[((a - I c) z)^k/k!, {k, 0, n}] + (-a - I c)^(-1 - n) E^((a + I c) z) Sum[((-(a + I c)) z)^k/k!, {k, 0, n}] - ((a + I c)^(-1 - n) Sum[((a + I c) z)^k/k!, {k, 0, n}])/ E^((a + I c) z)) /; Element[n, Integers] && n >= 0

 Standard Form

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 MathML Form

 z n sin ( c z ) cosh ( a z ) z 1 4 n ! ( ( - a - c ) - n - 1 ( a + c ) z k = 0 n ( - ( a + c ) z ) k k ! - ( a + c ) - n - 1 - ( a + c ) z k = 0 n ( ( a + c ) z ) k k ! - ( c - a ) - n - 1 ( a - c ) z k = 0 n ( - ( a - c ) z ) k k ! + ( a - c ) - n - 1 c z - a z k = 0 n ( ( a - c ) z ) k k ! ) /; n Condition z z n c z a z 1 4 n -1 a -1 c -1 n -1 a c z k 0 n -1 a c z k k -1 -1 a c -1 n -1 -1 a c z k 0 n a c z k k -1 -1 c -1 a -1 n -1 a -1 c z k 0 n -1 a -1 c z k k -1 a -1 c -1 n -1 c z -1 a z k 0 n a -1 c z k k -1 n [/itex]

 Rule Form

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

 2002-12-18