Knowing that \( \sin^2 x + \cos^2 x = 1 \), then which of the following is true?

**(A)**: \(\displaystyle \int_0^{\pi /2} \sin^2 x \, dx + \int_0^{\pi /2} \cos^2 x \, dx = \dfrac\pi2 \).

**(B)**: \(\displaystyle \int_0^{\pi /2} \sin^2 x \, dx = \dfrac\pi4\).

**(C)**: \(\displaystyle \int_0^{\pi /2} \cos^2 x \, dx = \dfrac\pi4\).

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