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The area of the region bounded by the curve y = x³, and the lines y = 8, and x = 0, is

1. 8
2. 12
3. 10
4. 16

Correct answer: 12

Solution

To find the area between the curve y = x³ and the line y = 8, we first determine the intersection point by solving x³ = 8, which gives x = 2. The area can then be calculated using the integral from 0 to 2 of (8 - x³) dx, resulting in an area of 12.

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