What is the area of the region bounded by the curves y = √x and y = x²? A. 1/3 B. 1/6 C. 1/2 D. 2/3 Answer: A) 1/3 Explanation: Intersections at x=0, x=1. Area = ∫(0 to 1) (√x − x²) dx = [2/3 x^(3/2) − x³/3] = 2/3 − 1/3 = 1/3 sq units.

imo class 12 application of integrals

What is the area of the region bounded by the curves y = √x and y = x²?

VAVidaara Admin Asked 6d ago 0 views 0 answers

What is the area of the region bounded by the curves y = √x and y = x²?

Answer: A) 1/3

Explanation: Intersections at x=0, x=1. Area = ∫(0 to 1) (√x − x²) dx = [2/3 x^(3/2) − x³/3] = 2/3 − 1/3 = 1/3 sq units.