Find the area of the region bounded by the curves y² = x and x² = y. A. 1/3 B. 2/3 C. 1 D. 1/2 Answer: A) 1/3 Explanation: The curves intersect at (0,0) and (1,1). Area = ∫[0 to 1] (√x - x²) dx = [2/3 x^(3/2) - x³/3] from 0 to 1 = 2/3 - 1/3 = 1/3.

imo class 12 definite integration

Find the area of the region bounded by the curves y² = x and x² = y.

VAVidaara Admin Asked 6d ago 0 views 0 answers

Find the area of the region bounded by the curves y² = x and x² = y.

Answer: A) 1/3

Explanation: The curves intersect at (0,0) and (1,1). Area = ∫[0 to 1] (√x - x²) dx = [2/3 x^(3/2) - x³/3] from 0 to 1 = 2/3 - 1/3 = 1/3.