_ 0 ^ ^ 2 x ( ^ -1 t ) d t+ _ 0 ^ ^ 2 x ( ^ -1 t ) d t=

Mathematics · JEE Advanced · NTA ExamsIntegral Calculus

\(\int_{0}^{\sin ^{2} x}\left(\sin ^{-1} \sqrt{t}\right) d t+\int_{0}^{\cos ^{2} x}\left(\cos ^{-1} \sqrt{t}\right) d t=\)
  1. \(\pi\)
  2. \(\frac{\pi}{2}\)
  3. \(\frac{\pi}{4}\)
  4. \(\frac{\pi}{2 \sqrt{2}}\)

Answer

(C) 4

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