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

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2002-12-18