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http://functions.wolfram.com/01.20.21.4892.01
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Integrate[(E^(p z) Cos[d z])/(a + b Sinh[e z] + c Cosh[e z]), z] ==
(1/2) (-((E^(((-I) d + e + p) z) ((a + Sqrt[a^2 + b^2 - c^2])
Hypergeometric2F1[((-I) d + e + p)/e, 1, 2 + ((-I) d + p)/e,
((b + c) E^(e z))/(-a + Sqrt[a^2 + b^2 - c^2])] +
(-a + Sqrt[a^2 + b^2 - c^2]) Hypergeometric2F1[((-I) d + e + p)/e, 1,
2 + ((-I) d + p)/e, -(((b + c) E^(e z))/
(a + Sqrt[a^2 + b^2 - c^2]))]))/((b - c) Sqrt[a^2 + b^2 - c^2]
((-I) d + e + p))) - (E^((I d + e + p) z)
((a + Sqrt[a^2 + b^2 - c^2]) Hypergeometric2F1[(I d + e + p)/e, 1,
2 + (I d + p)/e, ((b + c) E^(e z))/(-a + Sqrt[a^2 + b^2 - c^2])] +
(-a + Sqrt[a^2 + b^2 - c^2]) Hypergeometric2F1[(I d + e + p)/e, 1,
2 + (I d + p)/e, -(((b + c) E^(e z))/(a + Sqrt[a^2 + b^2 - c^2]))]))/
((b - c) Sqrt[a^2 + b^2 - c^2] (I d + e + p)))
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Date Added to functions.wolfram.com (modification date)
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