Integrate[a^(b Sqrt[z] + d z + e) Sin[f z + g], z] == -((a^(e + b Sqrt[z] + d z) E^(I (g + f z)))/(2 (f - I d Log[a]))) - a^(e + b Sqrt[z] + d z)/(E^(I (g + f z)) (2 (f + I d Log[a]))) - (I b E^((-4 I f g + 4 (e f + d g) Log[a] - I (b^2 - 4 d e) Log[a]^2)/ (4 (f + I d Log[a]))) Sqrt[Pi] Erfi[(-2 I f Sqrt[z] + (b + 2 d Sqrt[z]) Log[a])/ (2 Sqrt[(-I) f + d Log[a]])] Log[a])/(4 ((-I) f + d Log[a])^(3/2)) + (I b Sqrt[Pi] Erfi[(b Log[a] + 2 Sqrt[z] (I f + d Log[a]))/ (2 Sqrt[I f + d Log[a]])] Log[a])/ E^((4 f g - 4 I (e f + d g) Log[a] + (b^2 - 4 d e) Log[a]^2)/ (4 (I f + d Log[a])))/(4 (I f + d Log[a])^(3/2))

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2002-12-18