Integrate[E^(p z) Sin[d + c z]^\[Mu] Cos[a z]^v, z] == (-((1/(p - I c \[Mu])) ((E^(p z) Binomial[v, v/2] Hypergeometric2F1[ -((I p + c \[Mu])/(2 c)), -\[Mu], (1/2) (2 - (I p)/c - \[Mu]), E^(2 I (d + c z))] (-1 + Mod[v, 2]) Sin[d + c z]^\[Mu])/ (1 - E^(2 (I d + I c z)))^\[Mu])) + (Sin[d + c z]^\[Mu] Sum[Binomial[v, s] ((E^((p + 2 I a s - I a v) z) Hypergeometric2F1[ -((I (p + 2 I a s - I a v - I c \[Mu]))/(2 c)), -\[Mu], -((I (p + 2 I a s - I a v - I c (-2 + \[Mu])))/(2 c)), E^(2 I (d + c z))])/(p + 2 I a s - I a v - I c \[Mu]) + (E^((p + I a (-2 s + v)) z) Hypergeometric2F1[ -((I (p - 2 I a s + I a v - I c \[Mu]))/(2 c)), -\[Mu], (1/2) (2 - (I (p - 2 I a s + I a v))/c - \[Mu]), E^(2 I (d + c z))])/(p - 2 I a s + I a v - I c \[Mu])), {s, 0, Floor[(1/2) (-1 + v)]}])/(1 - E^(2 (I d + I c z)))^\[Mu])/ 2^v /; Element[v, Integers] && v > 0

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2002-12-18