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Which of the following inequalities is/are TRUE?
$$\int_{0}^{1} x \cos x dx \geq \frac{3}{8}$$
$$\int_{0}^{1} x \sin x dx \geq \frac{3}{10}$$
$$\int_{0}^{1} x^{2} \cos x dx \geq \frac{1}{1}$$
$$\int_{0}^{1} x^{2} \sin x dx \geq \frac{3}{8}$$
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