The area bounded by the curves y = 6x − x² and y = x² − 2x is:
The area bounded by the curves y = 6x − x² and y = x² − 2x is:
- A. 64/3 sq units
- B. 32/3 sq units
- C. 16/3 sq units
- D. 8/3 sq units
Answer: A) 64/3 sq units
Explanation: Intersection: 6x − x² = x² − 2x → 2x² − 8x = 0 → 2x(x − 4) = 0 → x = 0, 4. Area = ∫[0 to 4] [(6x − x²) − (x² − 2x)] dx = ∫[0 to 4] (8x − 2x²) dx = [4x² − (2/3)x³]₀⁴ = 64 − 128/3 = 64/3 sq units.
0 Answers
Log in to post your own answer or join the discussion.
No comments yet — start the discussion.