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The area of the region bounded by the graph of $y=\sin x$ and $y=\cos x $ between $x=0$ and $x=\large\frac{\pi}{4}$ is
\[\begin{array}{1 1}(1)\sqrt{2}+1&(2)\sqrt{2}-1\\(3)2\sqrt{2}-2&(4)2\sqrt{2}+2\end{array}\]
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