Determine the area of the finite region bounded by the parabola y = x² and the absolute value function y = |x|.
Determine the area of the finite region bounded by the parabola y = x² and the absolute value function y = |x|.
- A. 1/3
- B. 1/6
- C. 2/3
- D. 1/2
Answer: A) 1/3
Explanation: By symmetry, Area = 2 × ∫(0 to 1) (x − x²) dx = 2 [x²/2 − x³/3] = 2(1/6) = 1/3 sq units.
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