The area of the loop of the curve ay2 = x2 (a - x) is equal to

1
\(\frac{a^2}{5}\) sq. unit
2
\(\frac{8a^2}{15}\) sq. unit
3
\(\frac{7a^2}{15}\) sq. unit
4
\(\frac{6a^2}{15}\) sq. unit

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