What is the area of the region completely bounded by the downward opening parabola y = 4x − x² and the x-axis? A. 32/3 B. 16/3 C. 64/3 D. 8/3 Answer: A) 32/3 Explanation: Roots are x=0, 4. Area = ∫(0 to 4) (4x − x²) dx = [2x² − x³/3] = 32 − 64/3 = 32/3 sq units.

imo class 12 application of integrals

What is the area of the region completely bounded by the downward opening parabola y = 4x − x² and the x-axis?

VAVidaara Admin Asked 6d ago 0 views 0 answers

What is the area of the region completely bounded by the downward opening parabola y = 4x − x² and the x-axis?

Answer: A) 32/3

Explanation: Roots are x=0, 4. Area = ∫(0 to 4) (4x − x²) dx = [2x² − x³/3] = 32 − 64/3 = 32/3 sq units.