The area of the region bounded by the parabola y = x² and the line y = 4 is: A. 32/3 sq units B. 16/3 sq units C. 8/3 sq units D. 64/3 sq units Answer: A) 32/3 sq units Explanation: Intersection: x² = 4 → x = ±2. Area = ∫[−2 to 2] (4 − x²) dx = 2 × [4x − x³/3]₀² = 2(8 − 8/3) = 2(16/3) = 32/3 sq units.

imo class 12 application of integrals

The area of the region bounded by the parabola y = x² and the line y = 4 is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

The area of the region bounded by the parabola y = x² and the line y = 4 is:

Answer: A) 32/3 sq units

Explanation: Intersection: x² = 4 → x = ±2. Area = ∫[−2 to 2] (4 − x²) dx = 2 × [4x − x³/3]₀² = 2(8 − 8/3) = 2(16/3) = 32/3 sq units.