Eduprobe
Question:
The area of the region described by A = (x, y): x² + y² ≤ 1 and y² ≤ 1 - x is:
π/2 + 2/3
π/2 - 1/3
π/2 + 4/3
π/2 - 1/3
Solution:
A = (1/2) * π + 2∫₀¹ √(1 - x) dx = π/2 + 4/3
π/2 + 2/3
π/2 - 1/3
π/2 + 4/3
π/2 - 1/3
A = (1/2) * π + 2∫₀¹ √(1 - x) dx = π/2 + 4/3