JEE Main 2024 Mathematics question
The area enclosed between the curves y = x|x| and y = x − |x| is:
Answer: (D)
Solution
For x ≥ 0 the curves meet only at the origin. For x < 0 they are y = −x² and y = 2x, meeting at x = −2: area = ∫₋₂⁰(−x² − 2x)dx = 4/3.