JEE Main 2025 Mathematics question
The area of the region bounded by the curves and is :
Answer: (3)
Solution
Curves intersect at y=±1, x=1/2. Area = ∫[-1,1] (1/(1+y²) - y²/2) dy = π/2 - 1/3
The area of the region bounded by the curves and is :
Curves intersect at y=±1, x=1/2. Area = ∫[-1,1] (1/(1+y²) - y²/2) dy = π/2 - 1/3