Engineering Mathematics Calculus Definite Integrals

Find the value of \(\mathop \smallint \limits_0^{\frac{\pi }{2}} \frac{{\sqrt {cosx} }}{{\sqrt {sinx} + \surd cosx}}dx\)

1
\(\frac{\pi }{4}\)
2
\(\frac{\pi }{8}\)
3
\(\frac{\pi }{2}\)
4
\(\pi\)

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