Which of the following inequalities is/are TRUE?

A

$$\int_{0}^{1} x \cos x dx \geq \frac{3}{8}$$

B

$$\int_{0}^{1} x \sin x dx \geq \frac{3}{10}$$

C

$$\int_{0}^{1} x^{2} \cos x dx \geq \frac{1}{1}$$

D

$$\int_{0}^{1} x^{2} \sin x dx \geq \frac{3}{8}$$