# Which of the following inequalities is/are TRUE?

Which of the following inequalities is/are TRUE?

a)

$$\begin{array}{l}\int_{0}^{1}xcosx\: dx\geq \frac{3}{8}\end{array}$$

b)

$$\begin{array}{l}\int_{0}^{1}xsinx\: dx\geq \frac{3}{10}\end{array}$$

c)

$$\begin{array}{l}\int_{0}^{1}x^{2}cosx\: dx\geq \frac{1}{2}\end{array}$$

d)

$$\begin{array}{l}\int_{0}^{1}x^{2}sinx\: dx\geq \frac{2}{9}\end{array}$$