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\int_0^2 \frac12 \left((x-2)^2 -4\cos \left( \frac{\pi x}{4} \right) \right)^2 dx
\int_0^2 \frac12 \left((x-2)^2 -4\cos \left( \frac{\pi x}{4} \right) \right)^2 dx
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