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 :

Question

$2\sqrt 2 (\sqrt 2 - 1)$

$2(\sqrt 2 + 1)$

$4(\sqrt 2 - 1)$

$2\sqrt 2 (\sqrt 2 + 1)$

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