# Calculus/Work

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*20 January 2017*. There are template/file changes awaiting review.← Surface area | Calculus |
Centre of mass → |

Work |

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$W=\int F\,dr=\int ma\,dr=\int m\cdot {\frac {dv}{dt}}dr=m\int {\frac {dr}{dt}}dv=m\int vdv={\frac {mv^{2}}{2}}=\Delta E_{k}$