Solution: 4144 TrueFalse Determine whether the statement is true orfalse. Explain your

Chapter 12, Problem 44

(choose chapter or problem)

True-False Determine whether the statement is true or false. Explain your answer.

If $\mathbf{r}(t)$ is a vector-valued function that is continuous on the interval $[a, b]$, then for $a<t<b$,

$\frac{d}{d t}\left[\int_{a}^{t} \mathbf{r}(u) d u\right]=\mathbf{r}(t)$

Equation Transcription:

𝐫 $(t)$

$[a,b]$

$a<t<b$

$\frac{d}{dt}[\int\limits_{a}^{t}$ 𝐫 $(u)\ du]=$ 𝐫 $(t)$

Text Transcription:

r(t)

[a,b]

a<t<b

d/dt[ integral _a ^t r(u) du]=r(t)

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