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 Cos

 http://functions.wolfram.com/01.07.21.2671.01

 Input Form

 Integrate[(E^(p z) Sin[d z])/(a + b Sin[e z] + c Cos[e z])^2, z] == -((1/(d - e + I p)) (E^(((-I) d + I e + p) z) (a (a + Sqrt[a^2 - b^2 - c^2]) Hypergeometric2F1[(-d + e - I p)/e, 1, -((d - 2 e + I p)/e), (((-I) b + c) E^(I e z))/ (-a + Sqrt[a^2 - b^2 - c^2])] + a (-a + Sqrt[a^2 - b^2 - c^2]) Hypergeometric2F1[(-d + e - I p)/e, 1, -((d - 2 e + I p)/e), (I (b + I c) E^(I e z))/(a + Sqrt[a^2 - b^2 - c^2])] - a^2 Hypergeometric2F1[(-d + e - I p)/e, 2, -((d - 2 e + I p)/e), (((-I) b + c) E^(I e z))/(-a + Sqrt[a^2 - b^2 - c^2])] + b^2 Hypergeometric2F1[(-d + e - I p)/e, 2, -((d - 2 e + I p)/e), (((-I) b + c) E^(I e z))/(-a + Sqrt[a^2 - b^2 - c^2])] + c^2 Hypergeometric2F1[(-d + e - I p)/e, 2, -((d - 2 e + I p)/e), (((-I) b + c) E^(I e z))/(-a + Sqrt[a^2 - b^2 - c^2])] - a Sqrt[a^2 - b^2 - c^2] Hypergeometric2F1[(-d + e - I p)/e, 2, -((d - 2 e + I p)/e), (((-I) b + c) E^(I e z))/ (-a + Sqrt[a^2 - b^2 - c^2])] + a^2 Hypergeometric2F1[ (-d + e - I p)/e, 2, -((d - 2 e + I p)/e), (I (b + I c) E^(I e z))/ (a + Sqrt[a^2 - b^2 - c^2])] - b^2 Hypergeometric2F1[ (-d + e - I p)/e, 2, -((d - 2 e + I p)/e), (I (b + I c) E^(I e z))/ (a + Sqrt[a^2 - b^2 - c^2])] - c^2 Hypergeometric2F1[ (-d + e - I p)/e, 2, -((d - 2 e + I p)/e), (I (b + I c) E^(I e z))/ (a + Sqrt[a^2 - b^2 - c^2])] - a Sqrt[a^2 - b^2 - c^2] Hypergeometric2F1[(-d + e - I p)/e, 2, -((d - 2 e + I p)/e), (I (b + I c) E^(I e z))/(a + Sqrt[a^2 - b^2 - c^2])])) + (1/(d + e - I p)) (E^((I d + I e + p) z) (a (a + Sqrt[a^2 - b^2 - c^2]) Hypergeometric2F1[(d + e - I p)/e, 1, (d + 2 e - I p)/e, (((-I) b + c) E^(I e z))/ (-a + Sqrt[a^2 - b^2 - c^2])] + a (-a + Sqrt[a^2 - b^2 - c^2]) Hypergeometric2F1[(d + e - I p)/e, 1, (d + 2 e - I p)/e, (I (b + I c) E^(I e z))/(a + Sqrt[a^2 - b^2 - c^2])] - a^2 Hypergeometric2F1[(d + e - I p)/e, 2, (d + 2 e - I p)/e, (((-I) b + c) E^(I e z))/(-a + Sqrt[a^2 - b^2 - c^2])] + b^2 Hypergeometric2F1[(d + e - I p)/e, 2, (d + 2 e - I p)/e, (((-I) b + c) E^(I e z))/(-a + Sqrt[a^2 - b^2 - c^2])] + c^2 Hypergeometric2F1[(d + e - I p)/e, 2, (d + 2 e - I p)/e, (((-I) b + c) E^(I e z))/(-a + Sqrt[a^2 - b^2 - c^2])] - a Sqrt[a^2 - b^2 - c^2] Hypergeometric2F1[(d + e - I p)/e, 2, (d + 2 e - I p)/e, (((-I) b + c) E^(I e z))/ (-a + Sqrt[a^2 - b^2 - c^2])] + a^2 Hypergeometric2F1[ (d + e - I p)/e, 2, (d + 2 e - I p)/e, (I (b + I c) E^(I e z))/ (a + Sqrt[a^2 - b^2 - c^2])] - b^2 Hypergeometric2F1[ (d + e - I p)/e, 2, (d + 2 e - I p)/e, (I (b + I c) E^(I e z))/ (a + Sqrt[a^2 - b^2 - c^2])] - c^2 Hypergeometric2F1[ (d + e - I p)/e, 2, (d + 2 e - I p)/e, (I (b + I c) E^(I e z))/ (a + Sqrt[a^2 - b^2 - c^2])] - a Sqrt[a^2 - b^2 - c^2] Hypergeometric2F1[(d + e - I p)/e, 2, (d + 2 e - I p)/e, (I (b + I c) E^(I e z))/(a + Sqrt[a^2 - b^2 - c^2])])))/ (2 (I b + c) (a^2 - b^2 - c^2)^(3/2))

 Standard Form

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

 2002-12-18