Integrate[E^(b z^r + e) Sin[a z^r + q]^m Cos[c z^r + g], z] == (-(1/r)) 2^(-1 - m) z (E^(e - I g) Binomial[m, m/2] (Gamma[1/r, (-(b - I c)) z^r]/((-(b - I c)) z^r)^r^(-1) + (E^(2 I g) Gamma[1/r, (-(b + I c)) z^r])/((-(b + I c)) z^r)^r^(-1)) (1 - Mod[m, 2]) + Sum[((-1)^k Binomial[m, k] ((E^(2 I m q) Gamma[1/r, (-(b - I (c + 2 a k - a m))) z^r])/ ((-(b - I (c + 2 a k - a m))) z^r)^r^(-1) + (E^(I (2 g + m Pi + 4 k q)) Gamma[1/r, (-(b + I (c + 2 a k - a m))) z^r])/((-(b + I (c + 2 a k - a m))) z^r)^r^(-1) + (E^(I (m Pi + 4 k q)) Gamma[1/r, (-(b - I (c - 2 a k + a m))) z^r])/ ((-(b - I (c - 2 a k + a m))) z^r)^r^(-1) + (E^(2 I (g + m q)) Gamma[1/r, (-(b + I (c - 2 a k + a m))) z^r])/ ((-(b + I (c - 2 a k + a m))) z^r)^r^(-1)))/ E^((1/2) I (2 I e + 2 g + m Pi + 4 k q + 2 m q)), {k, 0, Floor[(1/2) (-1 + m)]}]) /; Element[m, Integers] && m > 0

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2002-12-18