The area bounded by the curve y = 2x − x² and the x-axis is: A. 4/3 sq units B. 2/3 sq units C. 8/3 sq units D. 16/3 sq units Answer: A) 4/3 sq units Explanation: y = 2x − x² = x(2 − x). Curve cuts x-axis at x = 0, 2. Area = ∫[0 to 2] (2x − x²) dx = [x² − x³/3]₀² = 4 − 8/3 = 4/3 sq units.

imo class 12 application of integrals

The area bounded by the curve y = 2x − x² and the x-axis is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

The area bounded by the curve y = 2x − x² and the x-axis is:

Answer: A) 4/3 sq units

Explanation: y = 2x − x² = x(2 − x). Curve cuts x-axis at x = 0, 2. Area = ∫[0 to 2] (2x − x²) dx = [x² − x³/3]₀² = 4 − 8/3 = 4/3 sq units.