The value of the integral \(\underset{0}{\overset{\text{ }\!\!\pi\!\!\text{ }}{\mathop \int }}\,\text{x}{{\cos }^{2}}\text{xdx}\) is

• A. \(\frac{{{\pi }^{2}}}{8}\)
• B. \(\frac{{{\pi }^{2}}}{4}\)
• C. \(\frac{{{\pi }^{2}}}{2}\)
• D. π2