Integrate[E^(p z^2) Sin[b z^2]^m Cosh[c z^2], z] == 2^(-2 - m) Sqrt[Pi] Binomial[m, m/2] (Erfi[Sqrt[-c + p] z]/Sqrt[-c + p] + Erfi[Sqrt[c + p] z]/Sqrt[c + p]) (1 - Mod[m, 2]) + 2^(-2 - m) Sqrt[Pi] Sum[(-1)^k Binomial[m, k] (Cos[(m Pi)/2] (Erfi[Sqrt[-c + 2 I b k - I b m + p] z]/ Sqrt[-c + 2 I b k - I b m + p] + Erfi[Sqrt[c + 2 I b k - I b m + p] z]/Sqrt[c + 2 I b k - I b m + p] + Erfi[Sqrt[-c - 2 I b k + I b m + p] z]/ Sqrt[-c - 2 I b k + I b m + p] + Erfi[Sqrt[c - 2 I b k + I b m + p] z]/Sqrt[c - 2 I b k + I b m + p]) + I (Erfi[Sqrt[-c + 2 I b k - I b m + p] z]/ Sqrt[-c + 2 I b k - I b m + p] + Erfi[Sqrt[c + 2 I b k - I b m + p] z]/Sqrt[c + 2 I b k - I b m + p] - Erfi[Sqrt[-c - 2 I b k + I b m + p] z]/ Sqrt[-c - 2 I b k + I b m + p] - Erfi[Sqrt[c - 2 I b k + I b m + p] z]/Sqrt[c - 2 I b k + I b m + p]) Sin[(m Pi)/2]), {k, 0, Floor[(1/2) (-1 + m)]}] /; Element[m, Integers] && m > 0

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