JEE Main 2024 Mathematics question
The area of one region enclosed by the parabolas y = x² − 5x and y = 7x − x² is .
Answer: 72
Solution
The parabolas meet at x = 0 and x = 6; the enclosed area is ∫₀⁶ (12x − 2x²) dx = 216 − 144 = 72.
The area of one region enclosed by the parabolas y = x² − 5x and y = 7x − x² is .
The parabolas meet at x = 0 and x = 6; the enclosed area is ∫₀⁶ (12x − 2x²) dx = 216 − 144 = 72.