Evaluate ∫0π/2sin1/2xsin1/2x+cos1/2xdx\int_{0}^{\pi/2} \frac{\sin^{1/2} x}{\sin^{1/2} x + \cos^{1/2} x} dx∫0π/2sin1/2x+cos1/2xsin1/2xdx.
π/2\pi/2π/2
π/4\pi/4π/4
π/3\pi/3π/3
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