Question
Use Green’s theorem to find the area of the region enclosed by curve$$\mathbf{r}(t)=t^{2} \mathbf{i}+\left(\frac{t^{3}}{3}-t\right) \mathbf{j},-\sqrt{3} \leq t \sqrt{3}.$$
Step 1
The parametric equations are given by $x(t) = t^2$ and $y(t) = \frac{t^3}{3} - t$. Show more…
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