Integral of $$$2 x e^{2} - \frac{e^{x}}{\sqrt{3 x e^{2} - 6 e^{x} - 1}}$$$
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Find $$$\int \left(2 x e^{2} - \frac{e^{x}}{\sqrt{3 x e^{2} - 6 e^{x} - 1}}\right)\, dx$$$.
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