Determine $r(t)$ if

$r^{\text{'}}(t)=8t^{1}i+2\sqrt[\phantom{2}]{t}j+\frac{6}{t^2}k$

and

$r(1)=3i+3j+7k$

$r(t)=$ i $+$ j $+$ k

$$ Tries $1/30$ Previous Tries

Evaluate the integral

${\displaystyle \underset{0}{\overset{1}{}}}(\frac{6}{1+t^2}i+\frac{7t}{1+t^2}j+(3+3t+1t^2)k)dt$

$$ i $+j+$ k

$$ Tries $\frac{1}{30}$ Previous Tries