The value of \( \int_{0}^{\sin ^{2} x} \sin ^{-1} \sqrt{t} d t+\int_{0}^{\cos ^{2} x} \cos ^{-1}...
The value of \( \int_{0}^{\sin ^{2} x} \sin ^{-1} \sqrt{t} d t+\int_{0}^{\cos ^{2} x} \cos ^{-1} \sqrt{t} d t \) is
(a) 0
(b) \( \pi / 4 \)
(c) \( \pi / 2 \)
(d) \( \pi / 3 \)
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