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\begin{aligned} &\int_{0}^{1} \mathrm{f}(x) \cdot \mathrm{g}(x) \mathrm{d} x \neq \int_{0}^{1} \mathrm{f}(x) \mathrm{d} \mathrm{x} \cdot \int_{0}^{1} \mathrm{~g}(x) \mathrm{dx} \\ &0 \end{aligned}