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Students learn/review how to do integrals in a multivariable context, using the vector differential
\(d\vec{r}=dx\, \hat{x}+dy\, \hat{y}+dz\, \hat{z}\)
and its curvilinear coordinate analogues as a unifying strategy. This strategy is common among physicists, but is NOT typically taught in vector calculus courses and will be new to most students.