Question
Question: The area enclosed by the parabola ay = 3(a<sup>2</sup> – x<sup>2</sup>) and the x - axis is...
The area enclosed by the parabola ay = 3(a2 – x2) and the x - axis is
A
4a2 sq. units
B
a2 sq. units
C
6a2 sq. units
D
5a2 sq. units
Answer
4a2 sq. units
Explanation
Solution
The parabola cuts the x-axis at points (–a, 0) and (a, 0).
A = ∫−aaydx = 2 a3∫0a(a2−x2)dx = 4a2 sq. units