Find the area bounded by the parabola y = x² and the line y = 2x.
Find the area bounded by the parabola y = x² and the line y = 2x.
- A. 4/3
- B. 2/3
- C. 8/3
- D. 1/3
Answer: A) 4/3
Explanation: Intersections at x=0, x=2. Area = ∫(0 to 2) (2x − x²) dx = [x² − x³/3] = 4 − 8/3 = 4/3 sq units.
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