$(b)$ Suppose $gis$ a function with a continuous second derivative that satisfies

$g(5)=-21,g(14)=10$

$g^{\text{'}}(5)=1,g^{\text{'}}(14)=7$

$g^{\text{'}\text{'}}(5)=-1,g^{\text{'}\text{'}}(14)=-13$

Evaluate the following definite integral:

${\displaystyle \underset{5}{\overset{14}{}}}{g}^{\text{'}}(t)g^{\text{'}\text{'}}(t)dt=$