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The area enclosed by the curves \( x=a \sin ^{3} t \) and \( y=a \cos ^{3} t \) is equal to
\( \mathrm{P} \)
(1) \( 12 a^{2} \int_{0}^{\pi / 2} \cos ^{4} t \sin ^{2} t d t \)
(2) \( 12 a \int_{0}^{\pi / 2} \cos ^{2} t \sin ^{4} t d t \)
(3) \( 2 \int_{-a}^{a}\left(a^{2 / 3}-x^{2 / 3}\right)^{3 / 2} d x \)
(4) \( 4 \int_{0}^{a}\left(a^{2 / 3}-x^{2 / 3}\right)^{3 / 2} d x \)
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