The value of the integral \(\underset{a}{\overset{\text{ }\!\!b\!\!\text{ }}{\mathop \int }}\,\text{x}{{\cos }^{2}}\text{xdx}\) is\(\frac{{{\pi }^{2}}}{4}. \)

What is the correct value of a and b?

1
b = π ÷ 2
2
a = 0
3
a = π ÷ 4
4
b = π 

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