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Find the area (in square units) of the region A = {(x, y): 0 <= y <= x|x| + 1 and -1 <= x <= 1}.

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

Correct answer: 2

Solution

Integrating the piecewise upper boundary from -1 to 1 gives area = 2.

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