The integral \(\int\limits_0^{\pi /2} {\left| {\sin x - \cos x} \right|dx} \) is equal to 

1
\(2\sqrt 2 \)
2
\(2\left( {\sqrt 2 - 1} \right)\)
3
\(2\left( {\sqrt 2 + 1} \right)\)
4
\(\sqrt 2 + 1\)

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