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http://functions.wolfram.com/01.07.21.2674.01
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Integrate[E^(p z)/(a Sin[e z]^2 + b Cos[e z]^2), z] ==
-(I E^((2 I e + p) z) ((Sqrt[-a] + I Sqrt[b])^2 Hypergeometric2F1[
1 - (I p)/(2 e), 1, 2 - (I p)/(2 e), ((-a + b) E^(2 I e z))/
(Sqrt[-a] - I Sqrt[b])^2] - (Sqrt[-a] - I Sqrt[b])^2
Hypergeometric2F1[1 - (I p)/(2 e), 1, 2 - (I p)/(2 e),
((-a + b) E^(2 I e z))/(Sqrt[-a] + I Sqrt[b])^2]))/
(Sqrt[-a] Sqrt[b] (-a + b) (2 I e + p))
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</math>
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