Make a rough sketch of the curve \( y=\cos ^{2} x, 0 \leq x \leq \frac{\pi}{2} \) and find the a...

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Make a rough sketch of the curve \( y=\cos ^{2} x, 0 \leq x \leq \frac{\pi}{2} \) and find the area included between the curve and the coordinate axes.
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