Categories > definite-integral > Fundamental definite integration > The value of $\int_{0}^{{{\sin }^{2}}x}{{{\sin }^{-1}}\sqrt{t}\,dt+\int_{0}^{{{\cos }^{2}}x}{{{\cos }^{-1}}\sqrt{t}\,dt}}$ is

definite-integral

Question: The value of $\int_{0}^{{{\sin }^{2}}x}{{{\sin }^{-1}}\sqrt{t}\,dt+\int_{0}^{{{\cos }^{2}}x}{{{\cos }^{-1}}\sqrt{t}\,dt}}$ is


1) $\frac{\pi }{2}$
2) 1
3) $\frac{\pi }{4}$
4) None of these
Solution: Explanation: No Explanation
Fundamental definite integration Definite integration by substitution

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