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Find the area of the region enclosed between the curves y = x² + 2 and y = 2|x| - cos(pi x).

1. 2/3
2. 8/3
3. 4/3
4. 1/3

Correct answer: 8/3

Solution

Integrating (x² + 2) - (2|x| - cos(pi x)) from -1 to 1 gives 8/3.

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