The area enclosed by the parabola ay = 3(a2 - x2) and the x-axis is :

4 a2 a2 6 a2 5 a2

4 a2

The parabola cuts the x-axis at points (-a, 0) and (a, 0) A = \(\int_{-a}^{a}d\)x y     = 2 x \(\frac{3}{a}\) \(\int_{0}^{a}d\)x (a^2 - x^2)    = 4 a2