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JEE Math Practice Question

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

  1. A.$${{\pi - 2} \over 8}$$
  2. B.$${{\pi - 2} \over 4}$$
  3. C.$${{\pi - 1} \over 2}$$
  4. D.$${{\pi - 1} \over 4}$$

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