Mathematics Integral Calculus Definite Integrals

The value of the integral \(\rm \displaystyle\int_0^{\pi/2} \dfrac{\sqrt{\sin x}}{\sqrt{\sin x}+ \sqrt{\cos x}}dx\) is

1

0

2

\(-\dfrac{\pi}{4}\)

3

\(\dfrac{\pi}{2}\)

4

\(\dfrac{\pi}{4}\)

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