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

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2002-12-18