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Find the area of the region enclosed between the curves y = x³ - x and y = x² + x.

1. 37/24
2. 37/12
3. 11/24
4. 37/23

Correct answer: 37/12

Solution

The curves meet at x = -1, 0, 2; integrating the difference over [-1,0] and [0,2] gives total area 37/12.

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