The area enclosed by the curve y 2 = x 4 ( 1 - x 2 ) is

Step-by-step solution

A = 4 ∫ 0 1 x 2 1 - x 2 1 / 2 d x Put x = sin ⁡ θ ⇒   d x = cos ⁡ θ d θ ⇒         A = 4 ∫ 0 π 2 sin 2 ⁡ θ cos 2 θ d θ = π 4 sq. units