2.. The astroid curve below is defined by the parametric equations x(t) = 2 cos³t, y(t) = 2 sin³t. Compute the area enclosed by the astroid. Compute the total area by getting one fourth the area and multiplying the answer by four. Also include a discussion of how the minus sign issue is resolved. Include detailed work showing all the trig identities etc. required to calculate the integral.

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