Let $f(t)=F^{\text{'}}(t).$ Write the integral ${\displaystyle \underset{a}{\overset{b}{}}}f(t)dt$ and evaluate it using the Fundamental Theorem of Calculus: $rF(t)=t^3.a=2,$ and $b=3,$ then the integral is

${\displaystyle \underset{a}{\overset{b}{}}}f(t)dt={\displaystyle \underset{a_n}{\overset{a_n}{}}}$

where

$v_1=$

$v_2=$

Then, after evaluation,

${\displaystyle \underset{a}{\overset{b}{}}}f(t)dt=$