The value of \[\int_{\,0}^{\,\pi /2}{\frac{{{\sin }^{2/3}}x}{{{\sin }^{2/3}}x+{{\cos }^{2/3}}x}dx}\] is [RPET 2001]

The value of \[\int_{\,0}^{\,\pi /2}{\frac{{{\sin }^{2/3}}x}{{{\sin }^

1.	The value of \[\int_{\,0}^{\,\pi /2}{\frac{{{\sin }^{2/3}}x}{{{\sin }^{2/3}}x+{{\cos }^{2/3}}x}dx}\] is [RPET 2001]
A.	\[\pi /4\]
B.	\[\pi /2\]
C.	\[3\pi /4\]
D.	\[\pi \]
Answer» B. \[\pi /2\]

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The value of \[\int_{\,0}^{\,\pi /2}{\frac{{{\sin }^{2/3}}x}{{{\sin }^{2/3}}x+{{\cos }^{2/3}}x}dx}\] is [RPET 2001]

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