A.\(I = - 16\int\limits_0^{\frac{\pi }{4}} {{{\cos }^2}tdt} \)
B.\(I = 8\int\limits_0^{\frac{\pi }{4}} {\left( {1 + \cos 2t} \right)dt} \)
C.\(I = 16\int\limits_0^{\frac{\pi }{4}} {{{\sin }^2}tdt} \)
D.\(I = 8\int\limits_0^{\frac{\pi }{4}} {\left( {1 - \cos 2t} \right)dt} \)