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

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2002-12-18