JEE Advance - Mathematics Hindi (2020 - Paper 1 Offline - No. 12)

निम्न असमिकाओं (inequalities) में से कौन सी सही है (हैं)?

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

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

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

$$\int_{0}^{1} x^{2} \sin x ~d x \geq \frac{2}{9}$$