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Find the area (in square units) of the region bounded by the curves x = y² and x = 3 - 2*y².

1. 4
2. 2
3. 6
4. 8

Correct answer: 4

Solution

The curves meet at y = +/-1; integrating [(3 - 2y²) - y²] from y = -1 to 1 gives an area of 4 square units.

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