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Find the work done by the force field $\mathbf{F}(x, y)=x \mathbf{i}+(y+2) \mathbf{j}$ in moving an object along an arch of the cycloid $\mathbf{r}(t)=(t-\sin t) \mathbf{i}+(1-\cos t) \mathbf{j}$ 0$\leqslant t \leqslant 2 \pi$

Work done $=2 \pi^{2}$

Vector Calculus

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