Compute the area between the curves \(y=\cos^2(x)\) and \(y=…
Compute the area between the curves \(y=\cos^2(x)\) and \(y=1\) for \(0\leq x \leq \pi\). Hint: The following trigonometric formulas may be useful. \[\sin^2{x}+\cos^2{x}=1 \\ \sin^2{x}=\frac12(1-\cos(2x)) \\ \cos^2{x}=\frac12(1+\cos(2x))\]
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