\[ \int_{0}^{\sin ^{2} x} \operatorname{Sin}^{-1} \sqrt{t} d t+\int_{0}^{\cos ^{2} x} \operatorn....

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\[
\int_{0}^{\sin ^{2} x} \operatorname{Sin}^{-1} \sqrt{t} d t+\int_{0}^{\cos ^{2} x} \operatorname{Cos}^{-1} \sqrt{t} d t=
\]
\( \mathrm{P} \)
(1) \( \pi \)
(2) \( \frac{\pi}{2} \)
(3) \( \frac{\pi}{4} \)
(4) \( \frac{\pi}{2 \sqrt{2}} \)



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