If \( I_{1}=\int_{0}^{\pi / 2} \frac{\cos ^{2} x}{1+\cos ^{2} x} d x, I_{2}=\int_{0}^{\pi / 2} \...

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If \( I_{1}=\int_{0}^{\pi / 2} \frac{\cos ^{2} x}{1+\cos ^{2} x} d x, I_{2}=\int_{0}^{\pi / 2} \frac{\sin ^{2} x}{1+\sin ^{2} x} d x \), \( I_{3}=\int_{0}^{\pi / 2} \frac{1+2 \cos ^{2} x \cdot \sin ^{2} x}{4+2 \cos ^{2} x \sin ^{2} x} d x \), then
(A) \( I_{1}=I_{2}I_{3} \)
(B) \( I_{3}I_{1}=I_{2} \)
(C) \( I_{1}=I_{2}=I_{3} \)
(D) None of these
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