The area (in sq. units) bounded by x 2 + y 2 = 1 and the curve y 2 ≥ x 2 , above the x -axis is

Step-by-step solution

The required area is A = 2 ∫ 0 1 2 1 - x 2 - x d x ⇒ A = 2 x 1 - x 2 2 + 1 2 sin - 1 ⁡ x - x 2 2 1 / 2 0 = 2 1 2 2 1 2 + 1 2 π 4 - 1 4 = π 4 sq. units