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http://functions.wolfram.com/01.07.21.2580.01
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Integrate[E^(p z) Sin[d + c z] Cos[a z]^\[Nu], z] ==
((-(1/2)) E^(I d) Cos[a z]^\[Nu]
((1/(c + I p - a \[Nu])) (E^(-2 I d - I c z + p z)
Hypergeometric2F1[(c + I p - a \[Nu])/(2 a), -\[Nu],
(2 a + c + I p - a \[Nu])/(2 a), -E^(-2 I a z)]) +
(1/(c - I p + a \[Nu])) (E^((I c + p) z) Hypergeometric2F1[
-((c - I p + a \[Nu])/(2 a)), -\[Nu],
-((c - I p + a (-2 + \[Nu]))/(2 a)), -E^(-2 I a z)])))/
(1 + E^(-2 I a z))^\[Nu]
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Date Added to functions.wolfram.com (modification date)
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