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Find the area of the region enclosed between the parabolas y² = 2x - 1 and y² = 4x - 3.

1. 1/3
2. 1/6
3. 2/3
4. 3/4

Correct answer: 1/3

Solution

The curves meet at y = +/-1; integrating the difference of x-values over y in [-1, 1] gives area 1/3.

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