Consider the function $f(t)$ depicted in the graph below. Let $F(x)={\displaystyle \underset{1}{\overset{x}{}}}f(t)dt$

Evaluate each of the following:

$($a$)F(1)=$

$($e$)F^{\text{'}}(1)=$

$($b$)F(2)=$

$($f$)F^{\text{'}}(2)=$

$($c$)F(5)=$

$($g$)F^{\text{'}}(5)=$

$($d$)F(7)=$

$($h$)F^{\text{'}}(7)=$