The area bounded by y = 3x and y = x² is:
The area bounded by y = 3x and y = x² is:
- A. 9/2 sq units
- B. 9 sq units
- C. 27/2 sq units
- D. 27 sq units
Answer: A) 9/2 sq units
Explanation: Solving: x² = 3x → x(x − 3) = 0 → x = 0, 3. Area = ∫[0 to 3] (3x − x²) dx = [3x²/2 − x³/3]₀³ = 27/2 − 9 = 27/2 − 18/2 = 9/2 sq units.
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