If v is a constant vector and r is integrable on [a, b], prove that b a v r(t) dt v b a

Chapter 9, Problem 52

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If v is a constant vector and r is integrable on [a, b], prove that \(\int_{a}^{b} \mathbf{v} \cdot \mathbf{r}(t) d t=\mathbf{v} \cdot \int_{a}^{b} \mathbf{r}(t) d t\).

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