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JEE Math Practice Question

The area, enclosed by the curves $$y = \sin x + \cos x$$ and $$y = \left| {\cos x - \sin x} \right|$$ and the lines $$x = 0,x = {\pi \over 2}$$, is :

  1. A.$$2\sqrt 2 (\sqrt 2 - 1)$$
  2. B.$$2(\sqrt 2 + 1)$$
  3. C.$$4(\sqrt 2 - 1)$$
  4. D.$$2\sqrt 2 (\sqrt 2 + 1)$$

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