JEE Main 2026 Mathematics question
The area of the region {(x,y) : x²−8x≤y≤−x} is:
Answer: (A)
Solution
The curves y=x²−8x and y=−x meet at x=0 and x=7. Area=∫₀⁷(−x−x²+8x)dx=∫₀⁷(7x−x²)dx=343/2−343/3=343/6.
The area of the region {(x,y) : x²−8x≤y≤−x} is:
The curves y=x²−8x and y=−x meet at x=0 and x=7. Area=∫₀⁷(−x−x²+8x)dx=∫₀⁷(7x−x²)dx=343/2−343/3=343/6.