The area bounded by the curves y = 8x² and y = 2x is:
The area bounded by the curves y = 8x² and y = 2x is:
- A. 1/24 sq unit
- B. 1/12 sq unit
- C. 1/6 sq unit
- D. 1/48 sq unit
Answer: A) 1/24 sq unit
Explanation: Intersection: 8x² = 2x → 2x(4x − 1) = 0 → x = 0, 1/4. Area = ∫[0 to 1/4] (2x − 8x²) dx = [x² − (8/3)x³]₀^(1/4) = 1/16 − (8/3)(1/64) = 1/16 − 1/24 = (3−2)/48 = 1/48 sq unit.
0 Answers
Log in to post your own answer or join the discussion.
No comments yet — start the discussion.