The area of the region bounded by the Y-axis, $y = \cos x$, and $y = \sin x$ for $0 \leq x \leq \frac{\pi}{4}$ is:

Question

$ \sqrt{2} - 1 $ sq. units

$ \sqrt{2} $ sq. units

$ \sqrt{2} + 1 $ sq. units

$ 2 - \sqrt{2} $ sq. units

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