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CUET
-- Mathematics - Section B1
Application of Integrals
The area enclosed by the parabola ay = 3(a2 - x2) and the x-axis is :
4 a2
a2
6 a2
5 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