The value of $\int\limits_0^{\pi /2} {{{{{\sin }^3}x} \over {\sin x + \cos x}}dx} $ is

Question

${{\pi - 2} \over 8}$

${{\pi - 2} \over 4}$

${{\pi - 1} \over 2}$

${{\pi - 1} \over 4}$

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