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In the first quadrant, find the area of the region bounded by the y-axis and the curves y = x/4, y = 1 + sqrt(x) and y = 2/sqrt(x).

1. 2/3 sq. units
2. 8/3 sq. units
3. 11/3 sq. units
4. 13/6 sq. units

Correct answer: 13/6 sq. units

Solution

The enclosed region, taken between the relevant intersections, has area 13/6 square units after integrating the difference of the bounding curves.

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