Answer: 1.
- A 1
- B 2
- C 3
- D 4
Correct answer: A. 1
Explanation: y=|x| meets y=1 at x=±1. Region lies between the two curves. By symmetry: Area = 2∫₀¹(1−x)dx = 2[x−x²/2]₀¹ = 2(1−1/2) = 2·(1/2) = 1 square unit.
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.