What is the area of the region bounded by y = x^2, the x-axis, and the lines x = 0 and x = 3?
Answer and explanation
Correct answer: A. 9
- Step 1: Area = integral from 0 to 3 of x^2 dx. Step 2. [x^3 / 3]_0^3 = 27 / 3 - 0 = 9. Answer: 9. Why not the others: 27 evaluates x^3 without dividing by 3; 3 divides 27 by 9; 18 integrates 2x instead of x^2.
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