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http://functions.wolfram.com/01.07.21.2675.01
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Integrate[E^(p z)/(a Sin[e z]^2 + b Cos[e z]^2)^2, z] ==
-(I E^((2 I e + p) z) ((-(Sqrt[-a] + I Sqrt[b])^2) (a + b)
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 (a + b) 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] -
2 I Sqrt[-a] Sqrt[b] ((Sqrt[-a] + I Sqrt[b])^2 Hypergeometric2F1[
1 - (I p)/(2 e), 2, 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), 2, 2 - (I p)/(2 e),
((-a + b) E^(2 I e z))/(Sqrt[-a] + I Sqrt[b])^2])))/
(2 (-a)^(3/2) b^(3/2) (-a + b) (2 I e + p))
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</apply> </apply> </annotation-xml> </semantics> </math>
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Date Added to functions.wolfram.com (modification date)
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