The area enclosed by the curves \[y=\text{sin}\,x+\text{cos}\,x\]and \[y=\left| \text{cos }x-\text{sin }x \right|\] over the interval [0,\[\pi /2\]] is

The area enclosed by the curves \[y=\text{sin}\,x+\text{cos}\,x\]and \

1.	The area enclosed by the curves \[y=\text{sin}\,x+\text{cos}\,x\]and \[y=\left\| \text{cos }x-\text{sin }x \right\|\] over the interval [0,\[\pi /2\]] is
A.	\[4(\sqrt{2}-1)\]
B.	\[2\sqrt{2}(\sqrt{2}-1)\]
C.	\[2(\sqrt{2}+1)\]
D.	\[2\sqrt{2}(\sqrt{2}+1)\]
Answer» C. \[2(\sqrt{2}+1)\]

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The area enclosed by the curves \[y=\text{sin}\,x+\text{cos}\,x\]and \[y=\left| \text{cos }x-\text{sin }x \right|\] over the interval [0,\[\pi /2\]] is

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