$Ifr(t)=cos(3t)i+sin(3t)j+4tk$

compute $r^{\text{'}}(t)=$

$i+$

$j+$

$k$

and ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}r(t)dt=$

$i+$

$j+$

$k+C$

with $C$ a constant vector.