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Integralshard
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Determine the value of ∫0π/2sin⁡xsin⁡x+cos⁡xdx\int_{0}^{\pi/2} \frac{\sin x}{\sin x + \cos x} dx∫0π/2​sinx+cosxsinx​dx by applying the property ∫0af(x)dx=∫0af(a−x)dx\int_0^a f(x) dx = \int_0^a f(a-x) dx∫0a​f(x)dx=∫0a​f(a−x)dx.