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)
\(\begin{array}{l}\int_{0}^{1}x^{2}sinx\: dx\geq \frac{2}{9}\end{array} \)
Answer: a, b, d
