Which of the following is a correct statement, where [tex]\mathbf{r}(t)=(0,1, t)[/tex] ?
(a) [tex]\int \mathbf{r}(t) d t=\left\langle 0, t, \frac{t^2}{2}\right\rangle[/tex]
(b) [tex]\int \mathrm{r}(t) d t=\left\langle 0, t, \frac{t^2}{2}\right\rangle+c[/tex]
(c) [tex]\int \mathbf{r}(t) d t=\left(0, t, \frac{t^2}{2}\right)+\mathbf{c}[/tex]
(d) [tex]\int \mathrm{r}(t) d t=\left\langle 0, t, \frac{t^2}{2}\right)+(c, c, c)[/tex]
(e) None of the other choices.