Integrate[z^2 E^(b Sqrt[z] + e) Cos[c Sqrt[z]], z] == (1/(b^2 + c^2)^6) (2 E^(e + b Sqrt[z]) ((-120 (b^6 - 15 b^4 c^2 + 15 b^2 c^4 - c^6) + 120 b (b^2 + c^2) (b^4 - 10 b^2 c^2 + 5 c^4) Sqrt[z] - 60 (b^2 + c^2)^2 (b^4 - 6 b^2 c^2 + c^4) z + 20 b (b^2 - 3 c^2) (b^2 + c^2)^3 z^(3/2) - 5 (b - c) (b + c) (b^2 + c^2)^4 z^2 + b (b^2 + c^2)^5 z^(5/2)) Cos[c Sqrt[z]] + c (-240 b (3 b^4 - 10 b^2 c^2 + 3 c^4) + 120 (b^2 + c^2) (5 b^4 - 10 b^2 c^2 + c^4) Sqrt[z] - 240 b (b - c) (b + c) (b^2 + c^2)^2 z + 20 (3 b^2 - c^2) (b^2 + c^2)^3 z^(3/2) - 10 b (b^2 + c^2)^4 z^2 + (b^2 + c^2)^5 z^(5/2)) Sin[c Sqrt[z]]))

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2002-12-18