The area enclosed between the curves y = x² and y = x is:
The area enclosed between the curves y = x² and y = x is:
- A. 1/6 sq unit
- B. 1/3 sq unit
- C. 1/2 sq unit
- D. 1 sq unit
Answer: A) 1/6 sq unit
Explanation: Intersection points: x² = x → x(x − 1) = 0 → x = 0, 1. Area = ∫[0 to 1] (x − x²) dx = [x²/2 − x³/3]₀¹ = 1/2 − 1/3 = 1/6 sq unit.
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