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Find the area (in square units) of the region in the first quadrant bounded by the parabola y = 9x² and the lines x = 0, y = 1 and y = 4.

1. 7/9
2. 14/3
3. 14/9
4. 7/3

Correct answer: 14/9

Solution

Expressing x = sqrt(y)/3 and integrating from y = 1 to y = 4 gives the area 14/9.

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