What is the area of the region bounded by the curves y = x² and y = x? A. 1/6 B. 1/3 C. 1/2 D. 1/4 Answer: A) 1/6 Explanation: Points of intersection: x=0, x=1. Area = ∫(0 to 1) (x − x²) dx = [x²/2 − x³/3] = 1/2 − 1/3 = 1/6 sq units.

imo class 12 application of integrals

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

VAVidaara Admin Asked 6d ago 0 views 0 answers

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

Answer: A) 1/6

Explanation: Points of intersection: x=0, x=1. Area = ∫(0 to 1) (x − x²) dx = [x²/2 − x³/3] = 1/2 − 1/3 = 1/6 sq units.