Answer: 1/6.
- A 1/6
- B 1/3
- C 1/2
- D 1
Correct answer: A. 1/6
Explanation: Area = integral from 0 to 1 of (x - x²) dx = [x²/2 - x³/3] = 1/2 - 1/3 = 1/6.
The exact area under the curve from a to b (shaded) is approximated by a few rectangles, the Riemann sum idea behind the definite integral.