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http://functions.wolfram.com/01.07.21.2676.01
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Integrate[(E^(p z) Sin[d z])/(a Sin[e z]^2 + b Cos[e z]^2), z] ==
((1/((-I) d + 2 I e + p)) (E^(((-I) d + 2 I e + p) z)
((Sqrt[-a] + I Sqrt[b])^2 Hypergeometric2F1[1 - (d + I p)/(2 e), 1,
2 - (d + 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 - (d + I p)/(2 e), 1, 2 - (d + I p)/(2 e), ((-a + b) E^(2 I e z))/
(Sqrt[-a] + I Sqrt[b])^2])) - (1/(I d + 2 I e + p))
(E^((I d + 2 I e + p) z) ((Sqrt[-a] + I Sqrt[b])^2
Hypergeometric2F1[(d + 2 e - I p)/(2 e), 1, (d + 4 e - I p)/(2 e),
((-a + b) E^(2 I e z))/(Sqrt[-a] - I Sqrt[b])^2] -
(Sqrt[-a] - I Sqrt[b])^2 Hypergeometric2F1[(d + 2 e - I p)/(2 e), 1,
(d + 4 e - I p)/(2 e), ((-a + b) E^(2 I e z))/(Sqrt[-a] + I Sqrt[b])^
2])))/(2 Sqrt[-a] Sqrt[b] (-a + b))
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Date Added to functions.wolfram.com (modification date)
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