Integrate[E^(d z + e) Sinh[c Sqrt[z] + f z]^v, z] == ((I/2)^v E^(e + d z) Binomial[v, v/2] (1 - Mod[v, 2]))/d + Sum[(-1)^k Binomial[v, k] (((-1)^v E^(e + (2 c k - c v) Sqrt[z] + (d + 2 f k - f v) z))/ (d + 2 f k - f v) + E^(e + (-2 c k + c v) Sqrt[z] + (d - 2 f k + f v) z)/(d - 2 f k + f v) - ((-1)^v E^(e - (2 c k - c v)^2/(4 (d + 2 f k - f v))) Sqrt[Pi] (2 c k - c v) Erfi[(c (2 k - v) + 2 (d + 2 f k - f v) Sqrt[z])/ (2 Sqrt[d + 2 f k - f v])])/(2 (d + 2 f k - f v)^(3/2)) - (c E^(e - (c^2 (-2 k + v)^2)/(4 (d + f (-2 k + v)))) Sqrt[Pi] (-2 k + v) Erfi[(c (-2 k + v) + 2 (d - 2 f k + f v) Sqrt[z])/ (2 Sqrt[d + f (-2 k + v)])])/(2 (d - 2 f k + f v)^(3/2))), {k, 0, Floor[(1/2) (-1 + v)]}]/2^v /; Element[v, Integers] && v > 0

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