I've been trying to find $\int_{-\infty}^{\infty}e^{i(x^{3}+y x^{2}+y^{2} x)}dx$ and $\int_{-\infty}^{\infty}x e^{i(x^{3}+y x^{2}+y^{2} x)}dx$. I've been doing the integral numerically but I'm not sure if they can be done by contour integration. Any help would be appreciated. TIA!
2026-02-23 10:41:50.1771843310
Complex integration of an oscillatory function
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