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If you would, please consider the 3-vector function r(t) = <f(t),g(t),h(t)>. What sort of geometric meaning can be assigned to the following integral?

[tex]\int_a^b \vec{r}(t) dt = \left\langle \int_a^b f(t) dt, \int_a^b g(t) dt, \int_a^b h(t) dt\right\rangle[/tex]

Or can any meaning can be assigned at all? Please help, I really want to know. We're covering this right now. :)

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# Geometric Meaning of a Vector Integral

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