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http://functions.wolfram.com/01.19.21.0431.01
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Integrate[Sinh[a ArcTan[z]], z] == (1/(2 (4 + a^2)))
(((2 + I a) a E^(2 (I + a) ArcTan[z]) Hypergeometric2F1[1 - (I a)/2, 1,
2 - (I a)/2, -E^(2 I ArcTan[z])] +
(2 I + a) ((-I) a E^(2 I ArcTan[z]) Hypergeometric2F1[1 + (I a)/2, 1,
2 + (I a)/2, -E^(2 I ArcTan[z])] + (-2 I + a)
((-1 + E^(2 a ArcTan[z])) z - I E^(2 a ArcTan[z])
Hypergeometric2F1[-((I a)/2), 1, 1 - (I a)/2, -E^(2 I ArcTan[z])] +
I Hypergeometric2F1[(I a)/2, 1, 1 + (I a)/2, -E^(2 I ArcTan[z])])))/
E^(a ArcTan[z]))
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Date Added to functions.wolfram.com (modification date)
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