Just starting out for calculus but are you able to help explain how to use Green's Theorem. How to fins the area bounded by the curves:
$x = a\cos^3{t}, y = a\sin^3{t}, (0 \leq t \leq 2\pi)$
How do I use the theorem for this context?
2026-03-29 21:37:36.1774820256
How to use Green's Theorem to find area bounded by two curves?
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You can take in Green's formula $P=0, Q=x$ or/and $P=-y, Q=0$ and obtain $$S=\int_\limits{\partial G^+}xdy=-\int_\limits{\partial G^+}ydx=\frac{1}{2}\int_\limits{\partial G^+}(xdy-ydx)$$ Can you finish from here?